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Influence of Chemical Reaction on Mass Transport in Yield Stress Exhibiting Flow Regime

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Abstract

In this study, the simulations for first-order chemical reactions (constructive and destructive) in the flow of the Casson fluid with temperature-dependent viscosity and temperature-dependent thermal conductivity are carried out in the presence of the mass transport of the solute with a temperature-dependent mass diffusion coefficient. First-order constructive and destructive chemical reactions are studied. For simulations, the governing equations are solved by the Galerkin finite element method (GFEM). GFEM equations are used to develop a computer code, and simulations are run for computational domain [0,7] with computational tolerance 10–6. Dissipation effects (viscous dissipation and Ohmic dissipation) cause a significant increase in the concentration field. The constructive and destructive chemical reactions have opposite effects on the concentration profile. The stresses at the stretching sheet for the hydromagnetic flow are higher than those at the surface for the hydrodynamic flow. The heat flux at the surface for the Casson fluid increases as the thermal conductivity increases due to a rise in temperature, whereas the mass flux at the surface decreases as the mass diffusion coefficient increases. The mass flux at the surface is an increasing function for the destructive chemical reaction, whereas the mass flux at the surface decreases for the constructive chemical reaction.

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Funding

One of the co-authors (Yasser Elmasry) extends his appreciation to the Deanship of Scientific Research at King Khalid University, Abha 61413, Saudi Arabia for funding this work through research groups program under grant number R.G.P-2/69/41.

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Authors and Affiliations

  1. Department of Applied Mathematics and Statistics, Institute of Space Technology, 44000, Islamabad, Pakistan

    Uzma Arif, M. Nawaz, Shafia Rana & Imran Haider Qureshi

  2. Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia

    Yasser Elmasry

  3. Department of Computer Science, University of Sahiwal, Sahiwal, Pakistan

    Shafiq Hussain

Authors
  1. Uzma Arif
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  2. M. Nawaz
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  3. Shafia Rana
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  6. Shafiq Hussain
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Correspondence to M. Nawaz.

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Uzma Arif, Nawaz, M., Rana, S. et al. Influence of Chemical Reaction on Mass Transport in Yield Stress Exhibiting Flow Regime. Theor Found Chem Eng 54, 1327–1339 (2020). https://doi.org/10.1134/S0040579520060123

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  • DOI: https://doi.org/10.1134/S0040579520060123

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