Boundary layer flow of a Walter’s B fluid driven by a stretching cylinder with viscosity influenced by temperature and concentration variations

Annwesha Borthakur; Debasish  Dey

doi:10.5269/bspm.78988

Annwesha Borthakur Dibrugarh University https://orcid.org/0009-0008-7594-5072
Debasish Dey Dibrugarh University, India

Resumo

The present work investigates the heat and mass transfer in a steady boundary layer flow of a Walter’s B fluid driven by a stretching cylinder, taking into account the effects of temperature-and concentration-dependent variable viscosity. The primary goal is to analyze the flow under free convection, incorporating the Rosseland approximation to model thermal radiation, which constitutes a novelty of the work. By employing similarity transformations, the governing equations are reduced to a system of nonlinear ordinary differential equations. A comprehensive analysis of the variations in velocity, temperature, and concentration is conducted through numerical simulations for different flow-related parameters. In addition, the skin friction coefficient ($C_f$), Nusselt number ($N_u$), and Sherwood number ($S_h$) are evaluated. It is observed that an increase in the Stefan–Boltzmann constant ($\sigma$) and the mean absorption coefficient ($k$) reduces the fluid temperature.

Downloads

Não há dados estatísticos.

Referências

Mehrotra, A. K., Svrcek, W. Y., Viscosity of compressed Athabasca bitumen, Can. J. Chem. Eng., 64(5), 844-847, (1986).

Chhabra, R. P., Richardson, J. F., Non-Newtonian flow and applied rheology: engineering applications, Butterworth-Heinemann, (2011).

Massoudi, M., Christie, I., Effect of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe, Int. J. Non-Lin. Mech., 30, 687–699,(1995).

Hayat, T., Ellahi, R., Asghar, S., The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: an analytic solution, Commun. Nonlin. Sci. Numer. Simulat., 12, 300–313, (2007).

Yurusoy, M., Pakdermirli, M., Approximate analytical solutions for flow of a third grade fluid in a pipe, Int. J. Non-Lin. Mech., 37, 187–195, (2002).

Pakdermirli, M., Yilbas, B.S., Entropy generation for pipe flow of a third grade fluid with Vogel model of viscosity, Int. J. Non-Lin. Mech., 41, 432–437, (2006).

Nadeem S., Ali M., Analytical solutions for pipe flow of a fourth grade fluid with Reynold and Vogel’s models of viscosities, Commun. Nonlin. Sci. Numer. Simulat., 14, 2070–2090, (2009).

Nadeem, S., Hayat, T., Abbasbandy, S., Ali, M., Effects of partial slip on a fourth-grade fluid with variable viscosity: an analytical solution, Nonlin. Anal.: Real World Appl. 11 856–868, (2010).

Nadeem, S., Akbar, N.S., Effects of temperature-dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid in a non-uniform vertical tube, Commun. Nonlin. Sci. Numer. Simulat., 15, 3950, (2010).

King, D. M.,Wang, Z., Kendig, J. W., Palmer, H. J., Holm, B. A., Notter, R. H., Concentration-dependent, temperaturedependent non-Newtonian viscosity of lung surfactant dispersions, Chem. Phys. Lipids, 112(1), 11-19, (2001).

Palm, T., Sahin, E., Gandhi, R., Khossravi, M., The importance of the concentration-temperature-viscosity relationship for the development of biologics, Bio. Process. Int., 10, (2015).

Monkos, K., Concentration and temperature dependence of viscosity in lysozyme aqueous solutions. Biochim. Biophys. Acta, 1339(2), 304-310, (1997).

Lapasin, R. Rheology of industrial polysaccharides: theory and applications, Springer Science & Business Media, (2012).

Barry, B. W., Meyer, M. C., The rheological properties of carbopol gels I. Continuous shear and creep properties of carbopol gels, Int. J. Pharm., 2(1), 1-25, (1979).

Baskurt, O. K., Meiselman, H. J., Blood rheology and hemodynamics, In Seminars in Thrombosis and Hemostasis, 29(05), 435-450, (2003). Copyright© 2003 by Thieme Medical Publishers, Inc., 333 Seventh Avenue, New York, NY 10001, USA.

Hussain, A., Ullah, A., Boundary layer flow of a Walter’s B fluid due to a stretching cylinder with temperature dependent viscosity, Alex. Eng. J., 55(4), 3073-3080, (2016).