Abstract
This investigation discusses the effects of first order chemical (generative/destructive) reaction on the transport in a species of variable mass conductance in a Williamson liquid of variable diffusion coefficient. The problem is modeled using conservation laws with temperature dependent variable diffusion coefficients models. Several numerical experiments are carried out to analyze the effects of chemical reaction on the concentration of reacting species. During numerical experiments, it is observed that a constructive chemical reaction increases the concentration of the species, whereas the concentration decreases when the rate of destructive chemical reaction grows. The rate of diffusion of species rises with growth of the mass conductance due to rise in the temperature. The rate of diffusion of solute from a wall into the fluid is a growing function of the mass diffusion coefficient. It is observed that the diffusion of solute in the fluid accelerates when the diffusion coefficient increases due to the rise in temperature. This observation is true for both the cases of constant and variable viscosity. Both generative and destructive chemical reactions have a significant impact on the rate of diffusion of solute from the wall into the fluid. The concentration of solute decreases when the rate of destructive chemical reaction grows. However, opposite behavior of concentration field is noted for the case of generative chemical reaction.
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Lai, F.C. and Kulacki, F.A., The Effect of Variable Viscosity on Convective Heat Transfer along a Vertical Surface in a Saturated Porous Medium, Int. J. Heat Mass Transfer, 1990, vol. 33, no. 5, pp. 1028–1031.
Prasad, K.V., Dulal, P., Umesh, V., and Prasanna Rao, N.S., The Effect of Variable Viscosity on MHD Viscoelastic Fluid Flow and Heat Transfer over a Stretching Sheet, Commun. Nonlin. Sci. Numer. Simul., 2010, vol. 15, pp. 331–344.
Singh, V. and Agarwal, S., Flow and Heat Transfer of Maxwell Fluid with Variable Viscosity and Thermal Conductivity over an Exponentially Stretching Sheet, Am. J. Fluid Dyn., 2013, vol. 3, no. 4, pp. 87–95.
Mukhopadhyay, S., Layer, G.C., and Samad, S.A., Study of MHD Boundary Layer Flow over a Heated Stretching Sheet with Variable Viscosity, Int. J. Heat Mass Transfer, 2005, vol. 48, pp. 4460–4466.
Pop, I., Gorla, R.S.R., and Rashidi, M., The Effect of Variable Viscosity on Flow and Heat Transfer to a Continuous Moving Flat Plate, Int. J. Eng. Sci., 1992, vol. 30, no. 1, pp. 1–6.
Mehta, K.N. and Sood, S., Transient Free Convection Flow with Temperature-Dependent Viscosity in a Fluid Saturated Porous Medium, Int. J. Eng. Sci., 1992, vol. 30, no. 8, pp. 1083–1087.
Mukhopadhyay, S. and Layek, G.C., Effects of Variable Fluid Viscosity on Flow past a Heated Stretching Sheet Embedded in a Porous Medium in Presence of Heat Source/Sink, Meccan., 2012, vol. 47, pp. 863–876.
Nadeem, S., Ahmed, Z., and Saleem, S., The Effect of Variable Viscosities on Micro-Polar Flow of Two Nanofluids, Zeits. Natur. A, 2016, vol. 71, no. 12, pp. 1121–1129.
Qureshi, I.H., Nawaz, M., Rana, S., and Zubair, T., Studies on Variable Mass Diffusion Coefficient: Galerkin Finite Element Study on the Effects of Variable Thermal Conductivity and Variable Mass Diffusion Conductance on Heat and Mass, Comm. Theor. Phys., 2018, vol. 70, no. 1, pp. 49–59.
Chaim, T.C., Heat Transfer with Variable Thermal Conductivity in a Stagnation-Point Flow towards a Stretching Sheet, Int. Comm. Heat Mass Transfer, 1996, vol. 23, pp. 239–248.
El-Aziz, M.A., Temperature-Dependent Viscosity and Thermal Conductivity Effects on Combined Heat and Mass Transfer in MHD Three-Dimensional Flow over a Stretching Surface with Ohmic Heating, Meccan., 2007, vol. 42, pp. 375–386.
Shehzad, S.A., Hayat, T., Qasim, M., and Asghar, S., Effects of Mass Transfer on MHD Flow of Casson Fluid with Chemical Reaction and Suction, Braz. J. Chem. Eng., 2013, vol. 30, no. 1, pp. 187–195.
Hayat, T., Khan, M.I., Imtiaz, M., and Alsaedi, A., Heat and Mass Transfer Analysis in the Stagnation Region of Maxwell Fluid with Chemical Reaction over a Stretched Surface, J. Therm. Sci. Eng. Appl., 2017, vol. 10, no. 1, p. 011002.
Zehra, I., Yousaf, M.M., and Nadeem, S., Numerical Solution of Williamson Fluid with Pressure Dependent Viscosity, Results Phys., 2015, vol. 5, pp. 20–25.
Nawaz, M. and Zubair, T., Finite Element Study of Three-Dimensional Radiative Nano-Plasma Flow Subject to Hall and Ion Slip Currents, Results Phys., 2017, vol. 7, pp. 4111–4122.
Reddy, J., An Introduction to the Finite Element Method, McGraw-Hill, 1984.
Reddy, J., An Introduction to the Nonlinear Finite Element Analysis, Oxford University Press, 2005.
Shafiq, A. and Sindhu, T.N., Statistical Study of Hydromagnetic Boundary Layer Flow of Williamson Fluid Regarding a Radiative Surface, Results Phys., 2017, vol. 7, pp. 3059–3067.
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Nawaz, M., Arif, U., Rana, S. et al. Effects of Generative/Destructive Chemical Reaction on Mass Transport in Williamson Liquid with Variable Thermophysical Properties. J. Engin. Thermophys. 28, 591–602 (2019). https://doi.org/10.1134/S1810232819040143
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DOI: https://doi.org/10.1134/S1810232819040143