Convection with Double-Diffusion in an Oscillatory Porous Boundary and a Concentration-Based Internal Heat Source

  • L. Ebiwareme Department of Mathematics, Rivers State University, Nigeria
  • K. W. Bunonyo MMDARG, Department of Mathematics and Statistics, Federal University Otuoke, Nigeria
  • O. A. Davies Department of Physics, Rivers State University, Nigeria
Keywords: Oscillatory flow, Double-Diffusion, Heat Source, ODE, Concentration, Velocity profile, Temperature profile, Convection, Lewis Number

Abstract

This research was carried out to investigate double-diffusion convection in an oscillatory porous boundary with a concentration-based internal heat source. The models governing the flow were scaled to be dimensionless with the help of the dimensionless quantities. The dimensionless partial differential equations were reduced to ordinary differential equations with the aid of perturbation parameters, and the ODEs have been solved analytically where the temperature, concentration, and velocity profiles were obtained. In the course of scaling and solving the governing system of the equation, we obtained some pertinent parameters with which we carried out numerical simulation using Wolfram Mathematica by varying the parameters such as thermal Rayleigh number, solutal Rayleigh number, Lewis number, Darcy number, magnetic field parameter, Prandtl number, heat source parameter, and oscillatory frequency parameter within a bounded domain. In conclusion, it is seen in the research that varying the pertinent parameters has an impact on the various flow profiles.

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Published
2022-06-20
How to Cite
Ebiwareme , L., Bunonyo , K. W., & Davies , O. A. (2022). Convection with Double-Diffusion in an Oscillatory Porous Boundary and a Concentration-Based Internal Heat Source. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 3(6), 25-38. Retrieved from https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/191
Issue
Vol 3 No 6 (2022): JUNE
Section
Articles