Effect of Hartmann layer resolution for MHD flow in a straight, conducting duct at high Hartmann numbers

摘要: Conventionally, obtaining a converged solution for MagnetoHydroDynamic problem entails highly resolved Hartmann boundary layer, leading to excessive time and computational requirements. For high number flows through electrically conducting channels, majority of the current loops close walls layer contributes only small fraction global path. Hence, effect on flow parameters due coarsening mesh Layer was investigated using ANSYS FLUENT code. Numerical simulations have been carried out in square rectangular ducts with wall conductance ratio 0.156 0.078 respectively. Magnetic field varied from 1T 4T obtain numbers $\left (Ha=Ba\sqrt {\sigma / \mu } \right )$ range 260–1040 duct, 520–2080 duct. B, a,μ, σ are strength applied magnetic field, characteristic length channel, dynamic viscosity electrical conductivity fluid The errors estimating core side peak velocity fully developed pressure gradient were found be low even grid system having 46% coarser than well-resolved system. analysis indicated that thick, ducts, reduced time, not compromising accuracy appears promising option complex geometry MHD simulation.