Abstract
An analysis has been carried out to investigate the effect of magnetic field presence on the mixed convection boundary layer flow of viscoelastic fluid over a horizontal circular cylinder in a porous medium. The governing non-similar partial differential equations are transformed into dimensionless forms and then solved numerically using the Keller-box method. Some important parameters have been discussed in this study which include the Prandtl number (Pr), magnetic parameter (M), viscoelastic parameter (K), porosity parameter (γ) and the mixed convection parameters (λ). The results show the values of the velocity decrease when the value of viscoelastic parameter increase and the reverse trend were observe for temperature profile. Numerical results of local skin friction as well as local Nusselt number are also presented in tabular form.
Highlights
The interest of flows in viscoelastic fluids has grown considerably because of their applications in engineering and several industrial-manufacturing processes involving petroleum drilling, manufacturing of foods and papers
A considerable amount of research has been done on the effects of the electrically conducting fluids such as liquid metals, water mixed with a little acid and others in the presence of transverse magnetic field on the flow and heat transfer characteristics over various geometries
We can say that the magnetic effect is not good enough for a larger magnetic force.As illustrated in Figs. 6 and 7, as mixed convection parameter increases, we found that the velocity profiles increase while the temperature profiles decrease
Summary
The interest of flows in viscoelastic fluids has grown considerably because of their applications in engineering and several industrial-manufacturing processes involving petroleum drilling, manufacturing of foods and papers. The differential governing equations of the viscoelastic fluid problems are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the numerical solution completely. One of MHD research is heat convection in a magnetized electrically conducting layer [8]. It is assumed that the Boussinesq and boundary layer approximations are valid Under these assumptions, the equations governing the steady mixed convection boundarylayer flow are; Continuity equation:.
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