Study of Chemically Reactive Flow and Heat Transfer in the Presence of a Uniform Magnetic Field

Document Type : Research Article

Authors

Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, I.R. IRAN

Abstract

The effects of chemical reaction, thermal stratification, Soret and Dufour numbers on magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible,and electrically conducting fluid on a vertical stretching surface embedded in a saturated porous medium are presented. A similarity transform is used to reduce the governing partial differential equations into a system of nonlinear ordinary differential equations, which is solved analytically by means of homotopy analysis method. The results are compared with numerical predictions obtained by fourth order Runge-Kutta method. Close agreement is observed between the two sets of results. The method is led to an expression, which is acceptable for all values of effective parameters and controls the convergence of the solution.

Keywords

References

[1] Kandasamy R., Periasamy K., Nonlinear Hydro Magnetic Flow, Heat and Mass Transfer Over an Accelerating Vertical Surface with Internal Heat Generation and Thermal Stratification Effects, Journal of Computational and Applied Mechanics, 6(1): 27-37 (2005).
[2] Shariful Alam Md., Rahman M.M., Abdul Maleque Md., Local Similarity Solutions for Unsteady MHD Free Convection and Mass Transfer Flow Past an Impulsively Started Vertical Porous Plate with Dufour and Soret Effects, Thammasat International Journal of Science and Technology, 10(3): 1-8 (2005).
[3] Shariful Alam Md., Rahman M.M., Samad M.A., Dufour and Soret Effects on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate in a Porous Medium, Nonlinear Analysis: Modelling and Control, 11(3): 217–226 (2006).
[4] Raptis A., Kafoussias N.G., Magneto Hydrodynamic Free Convection Flow and Mass Transfer Through Porous Medium Bounded by an Infinite Vertical Porous Plate with Constant Heat Flux, Canadian Journal of Physics, 60(12): 1725–1729 (1982).
[5] Anghel M., Takhar H.S., Pop I., Soret and Dufour Effects on Free-Convection Boundary Layer Over a Vertical Surface Embedded in a Porous Medium, Studia Universitatis Babes-Bolyai, Mathematica, 45(4): 11–21 (2000).
[6] Postelnicu A., Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection from Vertical Surfaces in Porous Media Considering Dufour and Soret Effects, International Journal of Heat and Mass Transfer, 47(6–7): 1467–1472 (2004).
[7] Shariful Alam Md., Rahman M.M., Dufour and Soret Effects on MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Flat Plate Embedded in a Porous Medium, Journal of Naval Architecture and Marine Engineering., 2(1): 55-65 (2005).
[8] El-Kabeir S.M.M., Modather M., Abdou M., Chemical Reaction, Heat and Mass Transferon MHD Flow Over a Vertical Isothermal Cone Surface in Micro-Polar Fluids with Heat Generation/ Absorption, Applied Mathematical Sciences, 1(34): 1663-1674 (2007).
[9] Mansour M.A., El-Anssary N.F., Aly A.M., Effects of Chemical Reaction and Thermal Stratification on MHD Free Convective Heat and Mass Transfer Over a Vertical Stretching Surface Embedded in a Porous Media Considering Soret and Dufour Numbers, Chemical Engineering Journal, 145: 340-345 (2008).
[10] Liao S.J., "The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems", Ph.D. Thesis, Shanghai Jiao Tong University, (1992).
[11] Kimiaeifar A.,"Application of HAM, PEM and HPM to Find Analytical Solution for Nonlinear Problems in Solid Mechanics", M.Sc. Thesis, Shahid Bahonar University of Kerman, (2008).
[12] Sajid M., Hayat T., Comparison of HAM and HPM Methods in Nonlinear Heat Conduction  and Convection Equations, Nonlinear Analysis: Real World Applications, 9(5): 2296-2301(2008).
(doi:10.1016/j.nonrwa.2007.08.007)
[13] Chowdhury M.S.H., Hashim I., Abdulaziz O., Comparison of Homotopy Analysis Method and Homotopy-Perturbation Method for Purely Nonlinear Fin-Type Problems, Communications in Nonlinear Science and Numerical Simulation, 14(2): pp. 371-378 (2009).
(doi:10.1016/j.cnsns.2007.09.005)
[14] Rahimpour M., Mohebpour S.R., Kimiaeifar A., Bagheri G.H., On the Analytical Solution of Axisymmetric Stagnation Flow Towards a Shrinking Sheet, International Journal of Mechanics, 2: 1–10 (2008).
[15] Kimiaeifar A., Saidi A.R., Analytical Solution for Stress Analysis in Hollow Cylinder Made of Functionally Graded Materials, "Proceedings of the 16th International Conference on Mechanical Engineering, Kerman, Iran",13-15 May (2008) (ISME2008).
[16] Domairry G., Mohsenzadeh A., Famouri M., The Application of Homotopy Analysis Method to Solve Nonlinear Differential Equation Governing Jeffery–Hamel Flow, Communications in Nonlinear Science, 14: 85-95 (2009).
[17] Hayat T., Khan S.B., Khan M., Exact Solution for Rotating Flows of a Generalized Burgers’ Fluid
in a Porous Space, Applied Mathematical Modelling, 32: 749-760 (2008).
[18] Kimiaeifar A., Saidi A.R., Bagheri G.H., Rahimpour M., Analytical Solution for Van Der Pol –Duffing Oscillators, Chaos, Solitons and Fractals, 42(5): 2660-2666 (2009).
[19] Fooladi M., Abaspour S.R., Kimiaeifar A., Rahimpour M., On the Analytical Solution of Nonlinear Normal Mode for Continuous Systems by Means of HAM, World Applied Sciences Journal, 6(3): 297-302 (2009).
[20] Kimiaeifar A., Bagheri G.H., Rahimpour M., Mehrabian M.A., Analytical Solution of Two-Dimensional stagnation Flow in the Vicinity of a Shrinking Sheet by Means of Homotopy Analysis Method, Journal of Process Mechanical Engineering, Institution of Mechanical Engineers, Part E, 223(3): 133-143 (2009.
Iranian Journal of Chemistry and Chemical Engineering
Volume 35, Issue 3 - Serial Number 79
September 2016
Pages 119-137

Files

Share

How to cite

Statistics