A Study of MHD Casson Fluid Flow over a Permeable Stretching Sheet with Heat and Mass Transfer
Journal of Engineering Research and Reports,
Page 10-25
DOI:
10.9734/jerr/2020/v16i217161
Abstract
In this paper, we study the numerical approach of MHD Casson fluid flow over a permeable stretching sheet with heat and mass transfer taking into cognizance the various parameters present. A set of suitable local similarity transformations are used to non-dimensionalize the governing equations of the present problem. The system of ordinary differential equations are solved numerically by MATLAB bvp4c solver. The effect of the involved parameters on Velocity, Temperature, and Concentration, Skin friction coefficient, Nusselt number and Sherwood number has been studied and numerical results are presented graphically and in tabular form. The numerical results are in good agreement with those of the results previously published in the literature.
Keywords:
- Casson fluid
- chemical reaction
- MHD
- radiation
- non-newtonian fluid
- heat and mass transfer
How to Cite
Asogwa, K. K., & Ibe, A. A. (2020). A Study of MHD Casson Fluid Flow over a Permeable Stretching Sheet with Heat and Mass Transfer. Journal of Engineering Research and Reports, 16(2), 10-25. https://doi.org/10.9734/jerr/2020/v16i217161
References
Casson N. A flow equation for pigment oil-suspensions of the printing ink type, In: Mill CC, editor. Rheology of disperse systems. Pergamon Press. 1959;84.
Moreau R. “Magnentohydrodynamics”. Kluwer Academic Publishers; 1990.
Ramachandra Prasad V, Subba Rao A, Bhaskar Reddy N. Modelling Laminar Transport Phenomena in a Casson rheological fluid from a Horizontal Circular Cylinder with Partial Slip, I. Mech E. Journal of Process Engineering. 2013;227: 309-326,2013.
Subba Rao A, Ramachandra Prasad V, Harshavalli K, Osman Anwar Beg. Thermal radiation effects on non-newtonian fluid in variable porosity regime with partial slip. Journal of Porous Media. 2016;313-329.
Mustafa M, Hayat T, Pop I, Aziz A. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate, Heat Transfer-Asian Research. 2011;40(6):563-576.
Hayat T, Shehzad SA, Alsaedi A, Soret, Dufour. Effects on magneto hydrodynamic flow of Casson fluid, Appl. Math. Mech. 2012;33:301-1312.
Pramanik S. Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation, Ain Shams Engg. J; 2013. (Aricle in Press)
Bhattacharya K, Vajravelu K, Hayat T. Slip effect on parametric space and the solution for the boundary layer flow of Casson fluid over a non-porous stretching/shrinking sheet. Int. J. Fluid Mech. Research. 2013; 40:482-493.
Bhattaacharyya K. MHD stagnation point flow of Casson fluid and heat transfer over stretching sheet with thermal radiation. Journal of Thermodynamics; 2013.
DOI.org/10.1155/2013/169674
Mukhopadhyay S, Ranjan De P, Bhattacharyya K, Layek GC. Casson fluid flow over an unsteady stretching surface. , Ain. Shams. Engineering Journal. 2013;4: 933-938.
Qasim M, Noreen S. Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation, Eur. Phys. J. Plus. 2014;7:129.
Ramanuja M, Nagaradhika V. MHD analysis of casson fluid through a vertical porous surface with chemical reaction. Global Scientific Journals. 2020;8(4).
ISSN 2320-9186
Mondal M, Biswas R, Shanchia K, Hassan M, Ahmed SF. Numerical investigation with stability convergence analysis of chemically hydromagnetic casson fluid flow in the effects of thermophoresis and brownian motion. International Journal of Heat and Technology. 2019;3:59-70.
Hasan MM, Zillur Rahman. Casson fluid flow and heat transfer over a permeable vertical stretching surface with magnetic field and thermal radiation. IOSR Journal of Engineering. 2019;09(1:14-19.
ISSN (e): 2250-3021, ISSN (p): 2278-8719.
Asogwa KK, Ibe AA, Udo UM. Magnetohydrodynamic oscillatory viscoelastic flow with radiation and constant suction over a vertical flat plate in a porous medium. IOSR Journal of Mathematics. 2019;15(6):20-30.
Das M, Mahanta G, Shaw S, Parida SB. Unsteady MHD chemically reactive double‐diffusive casson fluid past a flat plate inporous medium with heat and mass transfer, Heat Transfer- Asian Res. 2019; 1761-1777 wiley periodicals.
Das M, Mahanta G, Parida SB, Nandkeolyar R. Hydromagnetic flow of a heat radiating chemically reactive Casson nanofluid past a stretching sheet with convective boundary conditions. In: R. Sharma (Ed.), AIP Conference Proceedings. Vol. 1975, No. 1. Himachal Pradesh: AIP Publishing. 2018;030015.
Animasaun IL. Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non‐Darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction. J Niger Math Soc. 2015; 34(1):11‐31.
Ibrahim W, Makinde OD. Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. Journal of Aerospace Engineering. 2016;29(2).
Article# 04015037
Benazir AJ, Sivaraj R, Makinde OD. Unsteady magnetohydrodynamic Casson fluid flow over a vertical cone and flat plate with non-uniform heat source/sink. International Journal of Engineering Research in Africa. 2016;21:69-83.
Asogwa KK. Numerical solution of hydromagnetic flow past an infinite vertical porous plate. Transactions of the Nigerian Association of Mathematical Physics. 2017;4:143–150.
Swati Mukhopadhyay. Casson fluid flow and heat transfer over a nonlinearly stretching surface, Chin. Phys. B. 2013; 22(7):1-6.
Nadeem S, Rizwan UH, Lee C. MHD flow of a Casson fluid over an exponentially shrinking sheet, Scientia Iranica B. 2012; 19:1550-1553.
Rizwan Ul Haq S, Nadeem ZH, Khan TG Okedayo. Convective Heat transfer and MHD effects On Casson nano fluid over a shrinking sheet cent. Eur. J. Phys. 2014;12(12):862-871.
Hussain T, Shehzeb SA, Alsaedi A, Hayat T, Ramzon M. Flow of Casson Nano fluid with viscous dissipation and convective conditions. A mathematical model J Cent. South Uni. 2015;22:1132-1140.
Kameshwaran PK, Shaw S, Sibanda P. Dual solutions of Casson fluid flow over Stretching or Shrinking sheet. Sadhana. 2014;39(6):1573-1583.
Kierzenka J, Shampine LF. A BVP solver based on residual control and the MATLAB PSE. ACM Toms. 2001;27(3): 299–316.
Moreau R. “Magnentohydrodynamics”. Kluwer Academic Publishers; 1990.
Ramachandra Prasad V, Subba Rao A, Bhaskar Reddy N. Modelling Laminar Transport Phenomena in a Casson rheological fluid from a Horizontal Circular Cylinder with Partial Slip, I. Mech E. Journal of Process Engineering. 2013;227: 309-326,2013.
Subba Rao A, Ramachandra Prasad V, Harshavalli K, Osman Anwar Beg. Thermal radiation effects on non-newtonian fluid in variable porosity regime with partial slip. Journal of Porous Media. 2016;313-329.
Mustafa M, Hayat T, Pop I, Aziz A. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate, Heat Transfer-Asian Research. 2011;40(6):563-576.
Hayat T, Shehzad SA, Alsaedi A, Soret, Dufour. Effects on magneto hydrodynamic flow of Casson fluid, Appl. Math. Mech. 2012;33:301-1312.
Pramanik S. Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation, Ain Shams Engg. J; 2013. (Aricle in Press)
Bhattacharya K, Vajravelu K, Hayat T. Slip effect on parametric space and the solution for the boundary layer flow of Casson fluid over a non-porous stretching/shrinking sheet. Int. J. Fluid Mech. Research. 2013; 40:482-493.
Bhattaacharyya K. MHD stagnation point flow of Casson fluid and heat transfer over stretching sheet with thermal radiation. Journal of Thermodynamics; 2013.
DOI.org/10.1155/2013/169674
Mukhopadhyay S, Ranjan De P, Bhattacharyya K, Layek GC. Casson fluid flow over an unsteady stretching surface. , Ain. Shams. Engineering Journal. 2013;4: 933-938.
Qasim M, Noreen S. Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation, Eur. Phys. J. Plus. 2014;7:129.
Ramanuja M, Nagaradhika V. MHD analysis of casson fluid through a vertical porous surface with chemical reaction. Global Scientific Journals. 2020;8(4).
ISSN 2320-9186
Mondal M, Biswas R, Shanchia K, Hassan M, Ahmed SF. Numerical investigation with stability convergence analysis of chemically hydromagnetic casson fluid flow in the effects of thermophoresis and brownian motion. International Journal of Heat and Technology. 2019;3:59-70.
Hasan MM, Zillur Rahman. Casson fluid flow and heat transfer over a permeable vertical stretching surface with magnetic field and thermal radiation. IOSR Journal of Engineering. 2019;09(1:14-19.
ISSN (e): 2250-3021, ISSN (p): 2278-8719.
Asogwa KK, Ibe AA, Udo UM. Magnetohydrodynamic oscillatory viscoelastic flow with radiation and constant suction over a vertical flat plate in a porous medium. IOSR Journal of Mathematics. 2019;15(6):20-30.
Das M, Mahanta G, Shaw S, Parida SB. Unsteady MHD chemically reactive double‐diffusive casson fluid past a flat plate inporous medium with heat and mass transfer, Heat Transfer- Asian Res. 2019; 1761-1777 wiley periodicals.
Das M, Mahanta G, Parida SB, Nandkeolyar R. Hydromagnetic flow of a heat radiating chemically reactive Casson nanofluid past a stretching sheet with convective boundary conditions. In: R. Sharma (Ed.), AIP Conference Proceedings. Vol. 1975, No. 1. Himachal Pradesh: AIP Publishing. 2018;030015.
Animasaun IL. Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non‐Darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction. J Niger Math Soc. 2015; 34(1):11‐31.
Ibrahim W, Makinde OD. Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. Journal of Aerospace Engineering. 2016;29(2).
Article# 04015037
Benazir AJ, Sivaraj R, Makinde OD. Unsteady magnetohydrodynamic Casson fluid flow over a vertical cone and flat plate with non-uniform heat source/sink. International Journal of Engineering Research in Africa. 2016;21:69-83.
Asogwa KK. Numerical solution of hydromagnetic flow past an infinite vertical porous plate. Transactions of the Nigerian Association of Mathematical Physics. 2017;4:143–150.
Swati Mukhopadhyay. Casson fluid flow and heat transfer over a nonlinearly stretching surface, Chin. Phys. B. 2013; 22(7):1-6.
Nadeem S, Rizwan UH, Lee C. MHD flow of a Casson fluid over an exponentially shrinking sheet, Scientia Iranica B. 2012; 19:1550-1553.
Rizwan Ul Haq S, Nadeem ZH, Khan TG Okedayo. Convective Heat transfer and MHD effects On Casson nano fluid over a shrinking sheet cent. Eur. J. Phys. 2014;12(12):862-871.
Hussain T, Shehzeb SA, Alsaedi A, Hayat T, Ramzon M. Flow of Casson Nano fluid with viscous dissipation and convective conditions. A mathematical model J Cent. South Uni. 2015;22:1132-1140.
Kameshwaran PK, Shaw S, Sibanda P. Dual solutions of Casson fluid flow over Stretching or Shrinking sheet. Sadhana. 2014;39(6):1573-1583.
Kierzenka J, Shampine LF. A BVP solver based on residual control and the MATLAB PSE. ACM Toms. 2001;27(3): 299–316.
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