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Heat and Mass Transfer on MHD Rotating Flow of Second Grade Fluid Past an Infinite Vertical Plate Embedded in Uniform Porous Medium with Hall Effects

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Applied Mathematics and Scientific Computing

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Abstract

We discussed Hall effects on unsteady hydromagnetic natural convective rotating flow of second grade fluid past an impulsively moving vertical plate entrenched in a fluid inundated porous medium, while temperature of the plate has a temporarily ramped profile. Analytical solutions of the governing equations are obtained by Laplace transform technique. The precise solution is also obtained in case of unit Schmidt number. The analytical phrases for skin friction due to primary and secondary flows and Nusselt number are derived for both ramped temperature and isothermal plates. Expression for Sherwood number is also obtained. The velocity, temperature, and concentration are displayed graphically, whereas those of skin friction, Nusselt number, and Sherwood number are presented in tabular form with reference to momentous flow parameters.

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References

  1. Nakayama, A., Hossain, M.A.: An integral treatment for combined heat and mass transfer by natural convection in a porous medium. Int J Heat Mass Transfer. 38, 761–5 (1995)

    Article  Google Scholar 

  2. Chamkha, A.J., Takhar, H.S.: Soundalgekar ,V.M.: Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer. Chem Eng J. 84 , 335–42 (2001)

    Google Scholar 

  3. Ganesan, P., Palani, G.: Natural convection effects on impulsively started inclined plate with heat and mass transfer. Heat Mass Transfer. 39 , 277–83 (2003)

    Article  Google Scholar 

  4. Eckert, E.R., Drake, R.M.: Analysis of Heat and Mass Transfer. Mc-Graw Hill NY (1972)

    Google Scholar 

  5. Gebhart, B.,Jaluria, Y., Mahajan, R.L., Sammakia,B.: Buoyancy Induced Flow and Tran. (1998).

    Google Scholar 

  6. Nield, D.A., Bejan, A.: Convection in Porous Media. 3rd Ed. Springer NY (2006)

    Google Scholar 

  7. Pop, A., Ingham, D.B. : Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. Oxford Pergamon (2001)

    Google Scholar 

  8. Veera Krishna, M., Swarnalathamma, B.V.: Convective heat and mass transfer on MHD peristaltic flow of Williamson fluid with the effect of inclined magnetic field. AIP Conf Proc. (2016) https://doi.org/10.1063/1.4946512

  9. Swarnalathamma, B.V., Veera Krishna, M.: Peristaltic hemodynamic flow of couple stress fluid through a porous medium under the influence of magnetic field with slip effect. AIP Conf Proc. (2016) https://doi.org/10.1063/1.4946654

  10. Veera Krishna, M., Gangadhar Reddy, M. : MHD free convective rotating flow of visco-elastic fluid past an infinite vertical oscillating porous plate with chemical reaction. IOP Conf Ser Mater Sci Eng.149:012217. (2016) https://doi.org/10.1088/1757-899X/149/1/012217

    Article  Google Scholar 

  11. Veera Krishna, M., Subba Reddy, G.: Unsteady MHD convective flow of Second grade fluid through a porous medium in a Rotating parallel plate channel with temperature dependent source. IOP Conf Ser Mater Sci Eng. 149:012216. (2016) https://doi.org/10.1088/1757-899X/149/1/012216

    Article  Google Scholar 

  12. Veera Krishna, M., Swarnalathamma, B.V., Prakash, J. : Heat and mass transfer on unsteady MHD Oscillatory flow of blood through porous arteriole, Applications of Fluid Dynamics. Lecture Notes in Mechanical Engineering, XXII, 207–224 (2018) https://doi.org/10.1007/978-981-10-5329-0_14.

    Google Scholar 

  13. Sparrow, E.M., Cess, R,D.: Radiation heat transfer. Brooks/Cole Belmont Calif. (1966).

    Google Scholar 

  14. EL-Kabeir, S.M.M., EL-Hakiem, M.A., Rashad,A.M. : Lie Group Analysis Of Unsteady MHD Three Dimensional By Natural Convection From An Inclined Stretching Surface Saturated Porous Medium . J. Comp. App. Math. 213, 582–603 (2008)

    Article  MathSciNet  Google Scholar 

  15. Rashad, A.M.: Heat And Mass Transfer In Transient Flow By Mixed Convection Boundary Layer Over A Stretching Sheet Embedded In A Porous Medium With Chemically Reactive Species. Journal of Porous Media. 13 , 75–85 (2010)

    Article  Google Scholar 

  16. Rashad, A.M. : Effect Of Chemical Reaction On Heat And Mass Transfer By Mixed Convection Flow About A Solid Sphere In A Saturated Porous Media, International Journal of Numerical Methods for Heat and Fluid Flow . Int. J. Num. Methods for Heat and Fluid Flow . 21(4) , 418–433 (2011)

    Article  Google Scholar 

  17. Chamkha, Ali.J., Rashad, A.M. : Unsteady Heat and Mass Transfer by MHD Mixed Convection Flow from a Rotating Vertical Cone with Chemical Reaction and Soret and Dufour Effects . Canadian Journal of Chem. Eng. 92(4), 758–767 (2014)

    Article  Google Scholar 

  18. EL-Kabeir, S.M.M., Modather, M., Rashad, A.M. : Heat And Mass Transfer By Unsteady Natural Convection Over A Moving Vertical Plate Embedded In A Saturated Porous Medium With Chemical Reaction, Soret And Dufour Effects. J. App. Fluid Mech. 8(3), 453–463 (2015)

    Google Scholar 

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Veera Krishna, M., Gangadhar Reddy, M., Chamkha, A.J. (2019). Heat and Mass Transfer on MHD Rotating Flow of Second Grade Fluid Past an Infinite Vertical Plate Embedded in Uniform Porous Medium with Hall Effects. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_41

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