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Journal of Porous Media

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ISSN Print: 1091-028X

ISSN Online: 1934-0508

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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

Volume 13, Issue 1, 2010, pp. 75-85
DOI: 10.1615/JPorMedia.v13.i1.70
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Ahmed M. Rashad
Department of Mathematics, Faculty of Science, Aswan University, Aswan, 81528, Egypt
Saber M.M. EL-Kabeir
Department of Mathematics, Salman bin Abdulaziz University, College of Science and Humanity Studies, Al-Kharj, 11942, Saudi Arabia; Department of Mathematics, Aswan University, Faculty of Science, 81528, Egypt

ABSTRACT

An analysis is carried out to study the coupled heat and mass transfer in transient flow by a mixed convection boundary layer past an impermeable vertical stretching sheet embedded in a fluid-saturated porous medium in the presence of a chemical reaction effect. The stretching velocity, the surface temperature, and concentration are assumed to vary linearly with the distance along the surface. The flow is impulsively set into motion rest, and both the temperature and concentration at the surface are also suddenly changed from that of the ambient fluid. The governing partial differential equations are transformed into the self-similar unsteady boundary layer equations and solved by the Runge-Kutta integration scheme with shooting method for the whole transient from initial state (ξ = 0) to final steady state flow (ξ = ∞). Numerical results for the velocity, temperature, and concentration profiles as well as the variation of the local skin friction coefficient, local Nusselt and Sherwood numbers with the Darcy number, buoyancy, and chemical reaction parameters are presented graphically and discussed. This is done to elucidate the influence of the various parameters involved in the problem on the solution.

KEY WORDS: heat and mass transfer, porous medium, transient flow, chemical reaction
CITED BY

  1. EL-Kabeir S.M.M., Soret and Dufour effects on heat and mass transfer by mixed convection over a vertical surface saturated porous medium with temperature dependent viscosity, International Journal for Numerical Methods in Fluids, 69, 10, 2012. Crossref

  2. Pal Dulal, Mondal Hiranmoy, Influence of chemical reaction and thermal radiation on mixed convection heat and mass transfer over a stretching sheet in Darcian porous medium with Soret and Dufour effects, Energy Conversion and Management, 62, 2012. Crossref

  3. Nayak A., Panda S., Phukan D. K., Soret and Dufour effects on mixed convection unsteady MHD boundary layer flow over stretching sheet in porous medium with chemically reactive species, Applied Mathematics and Mechanics, 35, 7, 2014. Crossref

  4. Rashad A., Chamkha A., Heat and mass transfer by natural convection flow about a truncated cone in porous media with Soret and Dufour effects, International Journal of Numerical Methods for Heat & Fluid Flow, 24, 3, 2014. Crossref

  5. Mabood F., Khan W.A., Ismail A.I.Md., MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration, Chemical Engineering Journal, 273, 2015. Crossref

  6. Mallikarjuna B., Rashad A. M., Chamkha Ali J., Raju S. Hariprasad, Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime, Afrika Matematika, 27, 3-4, 2016. Crossref

  7. ELY B., BORTOLI A. L. de, MODELING AND SIMULATION OF THE PROCESS OF PRECIPITATION AND DISSOLUTION OF THE MINERALS CALCITE AND DOLOMITE, Anais do XX Congresso Brasileiro de Engenharia Química, 2015. Crossref

  8. Rashad A. M., Unsteady Mixed Convection Flow of a Nanofluid Near the Stagnation Point on a Vertical Surface, International Journal of Applied and Computational Mathematics, 3, 3, 2017. Crossref

  9. Gorla Rama Subba Reddy, Vasu Buddakkagari, Siddiqa Sadia, Transient Combined Convective Heat Transfer over a Stretching Surface in a Non-Newtonian Nanofluid Using Buongiorno’s Model, Journal of Applied Mathematics and Physics, 04, 02, 2016. Crossref

  10. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref

  11. Sulaiman M., Ali Aamir, Islam S., Heat and Mass Transfer in Three-Dimensional Flow of an Oldroyd-B Nanofluid with Gyrotactic Micro-Organisms, Mathematical Problems in Engineering, 2018, 2018. Crossref

  12. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2013. Crossref

  13. Umavathi J. C., Anwar Bég O., Numerical study of double-diffusive dissipative reactive convective flow in an open vertical duct containing a non-Darcy porous medium with Robin boundary conditions, Journal of Engineering Mathematics, 119, 1, 2019. Crossref

  14. Prasad D.V. Krishna, Chaitanya G.S. Krishna, Raju R. Srinivasa, Double diffusive effects on mixed convection Casson fluid flow past a wavy inclined plate in presence of Darcian porous medium, Results in Engineering, 3, 2019. Crossref

  15. Veera Krishna M., Gangadhar Reddy M., Chamkha A. J., 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 Applied Mathematics and Scientific Computing, 2019. Crossref

  16. Krishna M. Veera, Chamkha Ali J., Hall and ion slip effects on MHD rotating flow of elastico-viscous fluid through porous medium, International Communications in Heat and Mass Transfer, 113, 2020. Crossref

  17. Mouli G. B. Chandra, Gangadhar Kotha, Raju B. Hema Sundar, On Spectral Relaxation Approach for Thermal Diffusion and Diffusion Thermo Effects on Viscous Dissipative Casson Fluid Through a Stretched Surface, International Journal of Applied and Computational Mathematics, 6, 6, 2020. Crossref

  18. Sheikh M., Abbas Z., Hasnain J., Nadeem A., Sajid M., Impact of Nonlinear Rosseland Approximation on Flow of Newtonian Fluid with Unequal Diffusivities of Chemically Reactive Species, Arabian Journal for Science and Engineering, 46, 3, 2021. Crossref

  19. Shaheen Naila, Alshehri Hashim M., Ramzan Muhammad, Shah Zahir, Kumam Poom, Soret and Dufour effects on a Casson nanofluid flow past a deformable cylinder with variable characteristics and Arrhenius activation energy, Scientific Reports, 11, 1, 2021. Crossref

  20. Chang Tong-Bou, Shiue Bai-Heng, Ciou Yi-Bin, Lo Wai-Io, Chiapponi Luca, Analytical Investigation into Effects of Capillary Force on Condensate Film Flowing over Horizontal Semicircular Tube in Porous Medium, Mathematical Problems in Engineering, 2021, 2021. Crossref

  21. Pandey Alok K., Upreti Himanshu, Mixed convective flow of Ag–H 2 O magnetic nanofluid over a curved surface with volumetric heat generation and temperature‐dependent viscosity , Heat Transfer, 50, 7, 2021. Crossref

  22. Mkhatshwa Musawenkhosi Patson, Motsa Sandile Sydney, Ayano Mekonnen Shiferaw, Sibanda Precious, OVERLAPPING MULTI-DOMAIN SPECTRAL METHOD FOR NON-DARCIAN MIXED CONVECTION CHEMICALLY REACTING FLOW OF MICROPOLAR FLUID OVER A FLAT PLATE IN A POROUS MEDIA, Journal of Applied Analysis & Computation, 11, 1, 2021. Crossref

  23. Rashad A.M., Chamkha A.J., El‐Kabeir S.M.M., Effect of chemical reaction on heat and mass transfer by mixed convection flow about a sphere in a saturated porous media, International Journal of Numerical Methods for Heat & Fluid Flow, 21, 4, 2011. Crossref

  24. Basavarajappa Mahanthesh, Bhatta Dambaru, Unsteady nonlinear convective flow of a nanofluid over a vertical plate due to impulsive motion: Optimization and sensitivity analysis, International Communications in Heat and Mass Transfer, 134, 2022. Crossref

  25. Acharya M R, Mishra P, Panda S, Thermodynamic optimization of nanofluid flow over a non-isothermal wedge with nonlinear radiation and activation energy, Physica Scripta, 97, 1, 2022. Crossref

  26. Chamkha A.J., EL‐Kabeir S.M.M., Rashad A.M., Heat and mass transfer by non‐Darcy free convection from a vertical cylinder embedded in porous media with a temperature‐dependent viscosity, International Journal of Numerical Methods for Heat & Fluid Flow, 21, 7, 2011. Crossref

  27. Sedki Ahmed M., Effect of thermal radiation and chemical reaction on MHD mixed convective heat and mass transfer in nanofluid flow due to nonlinear stretching surface through porous medium, Results in Materials, 16, 2022. Crossref

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