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Numerical computing for axisymmetric transport phenomenon in Carreau liquid using variable conductance models

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Abstract

Conservation laws and variable conductance (viscosity, thermal conductivity and mass diffusion coefficient) models are used to develop mathematical problems describing transport mechanism in Carreau fluid over a non-uniformly moving surface. Boundary conditions are developed by no-slip theory. Mathematical models are transformed into suitable residual integrals which are approximated by Galerkin approximations. The obtained residuals are used for solving problems numerically using finite element method. Numerical investigation of variable viscosity, thermal conductivity and mass diffusion coefficients is carried out to examine the impact of parameters. The heat dissipated as a result of friction among the particles of the fluid of constant viscosity is greater than the heat dissipated due to friction force in the fluid of temperature-dependent viscosity. It is also found that ohmic phenomenon in the fluid of variable viscosity is prominent than that in the fluid of constant viscosity. Therefore, this fact must be in mind while using the fluids of variable viscosity in engineering applications. The transport of mass in fluid of constant viscosity is greater than that in fluid of variable viscosity. The Lorentz force is observed to oppose the flow. Hence, flow is decelerated by an increase in the intensity of magnetic field. The rate of transportation of mass has shown increasing trend when mass diffusion coefficient increases due to temperature.

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  1. Mathematics Department, College of Science Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi Arabia

    Sayer Obaid Alharbi

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Alharbi, S.O. Numerical computing for axisymmetric transport phenomenon in Carreau liquid using variable conductance models. J Therm Anal Calorim 145, 161–172 (2021). https://doi.org/10.1007/s10973-020-09510-4

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  • DOI: https://doi.org/10.1007/s10973-020-09510-4

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