https://doi.org/10.1140/epjp/s13360-024-05229-5
Regular Article
Influence of isoflux boundary condition on forced convection due to arbitrary orientation of magnetohydrodynamic flow in cylindrical geometry
Department of Mathematics, National Institute of Technology Silchar, 788010, Silchar, Assam, India
Received:
5
March
2024
Accepted:
29
April
2024
Published online:
18
May
2024
The impact of the isoflux boundary condition on forced convection magnetohydrodynamic flow past a cylinder subjected to an arbitrarily oriented external magnetic field is examined numerically. A fourth-order compact finite difference scheme is developed using cylindrical geometry to discretize the governing Navier–Stokes transport equation together with the energy equation and subsequently solve it utilizing the pseudo-time iterative technique. The flow and heat transfer properties are demonstrated with respect to the parameters such as Reynolds number (
), interaction parameter (M), magnetic inclination angle (
) and Prandtl number (
). The magnitude of the local Nusselt number and surface pressure behave non-monotonically with increasing M for streamwise magnetic field (
). Conversely, for other magnetic angles (
), both the values display a monotonic trend on the cylinder surface. The critical interaction parameter (
) for the mean Nusselt number (
) is determined in case of the streamwise magnetic field. A non-monotonic behavior in the values is observed depending upon the values of and . The heat transfer under the isoflux boundary condition is significantly enhanced throughout the cylinder surface when compared to the isothermal boundary condition.
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