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Volume : IV, Issue : I, February - 2014

ALIGNED MAGNETIC FIELD ON CASSON FLOW WITH HEAT SOURCE BETWEEN INFINITE PARALLEL PLATES

C. K. Kirubhashankar, S. Ganesh

By : Laxmi Book Publication

Abstract :

In the present study, we analyze the effect of heat source on Non-Newtonian fluid flow between infinite parallel plates in the presence of aligned magnetic field Casson fluid model is used to characterize the non-Newtonian fluid behavior. The coupled linear partial differential equations are solved by converting into ordinary linear differential equations by choosing the axial velocity, normal velocity and temperature field as a functions of y and t along with corresponding boundary conditions. The expressions are obtained for axial velocity, normal velocity and temperature field. The model has been analyzed to find the effects of various parameters such as, heat source parameter decay parameter, Casson parameter and Hartmann number on the axial velocity, temperature distribution.

Keywords :


    Article :


    Cite This Article :

    C. K. Kirubhashankar, S. Ganesh(2014). ALIGNED MAGNETIC FIELD ON CASSON FLOW WITH HEAT SOURCE BETWEEN INFINITE PARALLEL PLATES. Indian Streams Research Journal, Vol. IV, Issue. I, http://isrj.org/UploadedData/4184.pdf

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    106. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    107. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
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    146. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
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    149. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    150. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
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    157. effect. J. of Aerospace Sci. 29, 287.
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    159. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
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    168. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
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    175. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
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    179. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
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    181. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    182. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    183. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    184. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    185. 108.
    186. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    187. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    188. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    189. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    190. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    191. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    192. viscosity. Mech. Res. Comm., 26 (1), 115.
    193. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    194. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    195. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    196. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    197. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    198. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    199. effect. J. of Aerospace Sci. 29, 287.
    200. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    201. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    202. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    203. 108.
    204. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    205. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    206. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    207. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    208. viscosity. Mech. Res. Comm., 26 (1), 115.
    209. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    210. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    211. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    212. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    213. 108.
    214. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    215. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    216. viscosity. Mech. Res. Comm., 26 (1), 115.
    217. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    218. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    219. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    220. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    221. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    222. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    223. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    224. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    225. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    226. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    227. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    228. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    229. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    230. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    231. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    232. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    233. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    234. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    235. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    236. viscosity. Mech. Res. Comm., 26 (1), 115.
    237. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    238. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    239. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    240. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    241. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    242. viscosity. Mech. Res. Comm., 26 (1), 115.
    243. effect. J. of Aerospace Sci. 29, 287.
    244. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    245. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    246. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    247. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    248. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
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    250. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    251. viscosity. Mech. Res. Comm., 26 (1), 115.
    252. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
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    254. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
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    256. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    257. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    258. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    259. viscosity. Mech. Res. Comm., 26 (1), 115.
    260. viscosity. Mech. Res. Comm., 26 (1), 115.
    261. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    262. effect. J. of Aerospace Sci. 29, 287.
    263. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    264. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
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    272. effect. J. of Aerospace Sci. 29, 287.
    273. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
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    278. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    279. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    280. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    281. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    282. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    283. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    284. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    285. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    286. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    287. viscosity. Mech. Res. Comm., 26 (1), 115.
    288. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    289. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    290. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    291. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
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    293. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
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    297. 108.
    298. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
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    300. viscosity. Mech. Res. Comm., 26 (1), 115.
    301. effect. J. of Aerospace Sci. 29, 287.
    302. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    303. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    304. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    305. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    306. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    307. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    308. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    309. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    310. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    311. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    312. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    313. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    314. effect. J. of Aerospace Sci. 29, 287.
    315. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    316. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    317. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    318. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
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    320. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    321. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    322. 108.
    323. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    324. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    325. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    326. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    327. viscosity. Mech. Res. Comm., 26 (1), 115.
    328. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    329. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    330. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    331. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    332. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    333. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    334. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    335. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    336. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    337. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    338. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    339. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    340. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    341. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    342. viscosity. Mech. Res. Comm., 26 (1), 115.
    343. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    344. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    345. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    346. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    347. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    348. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    349. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    350. 108.
    351. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
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    353. 108.
    354. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    355. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    356. viscosity. Mech. Res. Comm., 26 (1), 115.
    357. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    358. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    359. viscosity. Mech. Res. Comm., 26 (1), 115.
    360. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    361. viscosity. Mech. Res. Comm., 26 (1), 115.
    362. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    363. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    364. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    365. 108.
    366. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    367. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    368. viscosity. Mech. Res. Comm., 26 (1), 115.
    369. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    370. viscosity. Mech. Res. Comm., 26 (1), 115.
    371. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    372. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    373. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    374. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    375. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    376. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    377. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    378. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    379. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    380. viscosity. Mech. Res. Comm., 26 (1), 115.
    381. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    382. 108.
    383. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    384. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    385. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    386. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    387. 108.
    388. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    389. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    390. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    391. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    392. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    393. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    394. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    395. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    396. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    397. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    398. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    399. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    400. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    401. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    402. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    403. 108.
    404. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    405. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    406. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    407. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    408. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    409. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    410. viscosity. Mech. Res. Comm., 26 (1), 115.
    411. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    412. effect. J. of Aerospace Sci. 29, 287.
    413. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    414. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    415. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    416. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    417. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    418. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    419. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    420. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    421. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    422. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    423. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    424. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    425. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    426. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    427. viscosity. Mech. Res. Comm., 26 (1), 115.
    428. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    429. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    430. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    431. 108.
    432. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    433. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    434. viscosity. Mech. Res. Comm., 26 (1), 115.
    435. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    436. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    437. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    438. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
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    440. effect. J. of Aerospace Sci. 29, 287.
    441. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    442. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    443. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    444. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    445. 108.
    446. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
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    449. viscosity. Mech. Res. Comm., 26 (1), 115.
    450. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    451. viscosity. Mech. Res. Comm., 26 (1), 115.
    452. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    453. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    454. 108.
    455. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    456. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    457. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    458. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    459. viscosity. Mech. Res. Comm., 26 (1), 115.
    460. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    461. 108.
    462. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    463. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    464. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    465. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    466. viscosity. Mech. Res. Comm., 26 (1), 115.
    467. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    468. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    469. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    470. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    471. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    472. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    473. viscosity. Mech. Res. Comm., 26 (1), 115.
    474. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    475. viscosity. Mech. Res. Comm., 26 (1), 115.
    476. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    477. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    478. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    479. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    480. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    481. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    482. Sutton G. W. and Sherman A. (1965): Engineering Magnetohydrodynamics. McGraw-Hill Book Co.
    483. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    484. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).
    485. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    486. viscosity. Mech. Res. Comm., 26 (1), 115.
    487. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    488. viscosity. Mech. Res. Comm., 26 (1), 115.
    489. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    490. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    491. TAO, I. N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. J. of Aerospace Sci. 27, 334
    492. Mohamed Ismail A, Ganesh S,(2014), Unsteady Stokes Flow of Dusty Fluid between Two Parallel Plates through Porous
    493. effect. J. of Aerospace Sci. 29, 287.
    494. transfer. IEEE Trans. Plasma Sci. PS-7 (3), 178.
    495. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    496. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    497. viscosity. Mech. Res. Comm., 26 (1), 115.
    498. Nigam S. D. and Singh, S.N. (1960): Quart. J. Mech. Appl. Math. 13, 85.
    499. Medium,Applied Mathematical Sciences, Vol. 8, 2014, no. 5, 241 – 249.
    500. Attia H. A. (1999): Transient MHD flow and heat transfer between two parallel plates with temperature dependent
    501. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    502. Cramer K. R. and Pai, S.-I. (1973): Magnetofluid dynamics for engineers and applied physicists. McGraw-Hill Book Co.
    503. Journal of Applied Sciences, Asian Network for scientific information, 6(11):2450-2425,2006.
    504. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    505. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    506. viscosity. Mech. Res. Comm., 26 (1), 115.
    507. Soundalgekar V. M., Vignesam N. V., and Takhar H. S. (1979): Hall and Ion-slip effects in MHD Couettee flow with heat
    508. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    509. viscosity. Mech. Res. Comm., 26 (1), 115.
    510. Ganesh S, Krishnambal S,(2006), Magnetohydrodynamic flow of viscous fluid between two parallel porous plates,
    511. Alpher R. A. (1961): Heat transfer in magnetohydrodynamic flow between parallel plates. Int. J. Heat and Mass Transfer. 3,
    512. 108.
    513. Soudalgekar V. M. and Uplekar A. G. (1986): IEEE Trans. Plasma Sci. PS-14 (5), 579
    514. Tani, I. (1962): Steady motion of conducting fluids in channels under transverse magnetic fields with consideration of Hall
    515. viscosity. Mech. Res. Comm., 26 (1), 115.
    516. Hartmann J. and Lazarus F. (1937): Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd. 15 (6,7).

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