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Diffusion of chemically reactive species in Casson fluid flow over an unsteady permeable stretching surface

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Abstract

In this paper we investigate the two-dimensional flow of a non-Newtonian fluid over an unsteady stretching permeable surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. First-order constructive/destructive chemical reaction is considered. With the help of a shooting method, numerical solutions for a class of nonlinear coupled differential equations subject to appropriate boundary conditions are obtained. For the steady flow, the exact solution is obtained. The flow features and the mass transfer characteristics for different values of the governing parameters are analyzed and discussed in detail.

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References

  1. CORTELL R. MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species[J]. Chemical Engineering and Processing: Process Intensification, 2007, 46(8): 721–728.

    Article  Google Scholar 

  2. SIDDIQUI A. M., ZEB A. and GHORI Q. K. et al. Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates[J]. Chaos, Solitons and Fractals, 2008, 36(1): 182–192.

    Article  MathSciNet  Google Scholar 

  3. SAJID M., AHMAD I. and HAYAT T. et al. Unsteady flow and heat transfer of a second grade fluid over a stretching sheet[J]. Communications in Nonlinear Science Numerical Simulation, 2009, 14(1): 96–108.

    Article  MathSciNet  Google Scholar 

  4. BOYD J., BUICK J. M. and GREEN S. Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flow using the lattice Boltzmann method[J]. Physics of Fluids, 2007, 19(9): 093103.

    Article  Google Scholar 

  5. ANDERSSON H. I., AARSETH J. B. and DANDAPAT B. S. Heat transfer in a liquid film on an unsteady stretching surface[J]. International Journal of Heat and Mass Transfer, 2000, 43(1): 69–74.

    Article  Google Scholar 

  6. DANDAPAT B. S., SANTRA B. and VAJRAVELU K. The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet[J]. International Journal of Heat and Mass Transfer, 2007, 50(5-6): 991–996.

    Article  Google Scholar 

  7. ALI M. E., MAGYARI E. Unsteady fluid and heat flow induced by a submerged stretching surface while its steady motion is slowed down gradually[J]. International Journal of Heat and Mass Transfer, 2007, 50(1-2): 188–195.

    Article  Google Scholar 

  8. SHARIDAN S., MAHMOOD T. and POP I. Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet[J]. International Journal of Applied Mechanics Engineering, 2006, 11(3): 647–654.

    MATH  Google Scholar 

  9. MUKHOPADHYAY S. Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium[J]. International Journal of Heat and Mass Transfer, 2009, 52(13-14): 3261–3265.

    Article  Google Scholar 

  10. MUKHOPADHYAY S. Effects of slip on unsteady mixed convective flow and heat transfer past a porous stretching surface[J]. Nuclear Engineering Design, 2011, 241(8): 2660–2665.

    Article  Google Scholar 

  11. CHAMKHA A. J., ALY A. M. and MANSOUR M. A. Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects[J]. Chemical Engineering Communnications, 2010, 197(6): 846–858.

    Article  Google Scholar 

  12. BHATTACHARYYA K., MUKHOPADHYAY S. and LAYEK G. C. Slip effects on an unsteady boundary layer stagnation-point flow and heat transfer towards a stretching sheet[J]. Chinese Physics Letters, 2011, 28(9): 094702.

    Article  Google Scholar 

  13. HAYAT T., AWAIS M. and SAFDAR A. et al. Unsteady three dimensional flow of couple stress fluid over a stretching surface with chemical reaction[J]. Non-Linear Analysis: Modeling and Control, 2012, 17(1): 47–59.

    MathSciNet  MATH  Google Scholar 

  14. MUSTAFA M., HAYAT T. and POP I. et al. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate[J]. Heat Transfer–Asian Research, 2011, 40(6): 563–576.

    Article  Google Scholar 

  15. MUKHOPADHYAY S., VAJRAVELU K. Effects of transpiration and internal heat generation/absorption on the unsteady flow of a Maxwell fluid at a stretching surface[ J]. Journal of Applied Mechanics, 2012, 79(4): 044508.

    Article  Google Scholar 

  16. MUKHOPADHYAY S. Unsteady boundary layer flow and heat transfer past a porous stretching sheet in presence of variable viscosity and thermal diffusivity[J]. International Journal of Heat and Mass Transfer, 2009, 52(21-22): 5213–5217.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The University of Burdwan, Burdwan, 713104, W. B., India

    Swati Mukhopadhyay

  2. Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida, 32816-1364, USA

    Kuppalapalle Vajravelu

Authors
  1. Swati Mukhopadhyay
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  2. Kuppalapalle Vajravelu
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Correspondence to Kuppalapalle Vajravelu.

Additional information

Biography: MUKHOPADHYAY Swati (1975-), Female, Ph. D., Assistant Professor

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Mukhopadhyay, S., Vajravelu, K. Diffusion of chemically reactive species in Casson fluid flow over an unsteady permeable stretching surface. J Hydrodyn 25, 591–598 (2013). https://doi.org/10.1016/S1001-6058(11)60400-X

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  • DOI: https://doi.org/10.1016/S1001-6058(11)60400-X

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