Author(s): Tombotamunoa WJ Lawson and Peters Nwagor

Abstract: In this work, magnetohydrodynamics convective of TiO₂ nanofluid over a cylindrical permeable plate: heat and mass transfer coefficients was analyzed. The Frobenius Method was used to solve the governing equations modeled in partial differential equations (PDE) which was non-dimensionalized, and converted to ordinary differential equations (ODE) using the regular perturbation approach with boundary conditions, each solution of these equations separately, yielding analytic solutions. The analytic approximate solutions for temperature, concentration, and velocity were perturbed to examine the Nusselt parameter, the Sherwood number, and the Skin friction which were numerically computed in tabular form. The Nusselt parameter and the skin friction declined as the radiation parameter was raised from 0.5 to 2.5 and an increment of the chemical reaction term from 2.35 to 5.35 diminished the skin friction and Sherwood number. The skin friction increased from 2.88093 to 1.55554 as the magnetic field was increasing from 1 to 5; the porosity parameter when increased from 0.3 to 1.5, lowered the skin friction, also the Nusselt parameter and the Sherwood number declined as the nanoparticle volume fraction was raised from 0.1 to 0.5.

DOI: 10.22271/maths.2023.v8.i6a.1402

Pages: 53-63 | Views: 129 | Downloads: 6

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