Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects

Bioconvection nanofluid slip flow past a wavy surface with applications in nano-biofuel cells

“…We further note that more details of the numerical procedure employed are documented in Minkowycz and Sparrow [55]. More recent applications of this method include dispersive and stratified porous media convection [56], liquid metal magneto-hydrodynamic induction heat transfer [57] and solar collector cross-diffusion transport phenomena [58].…”

Mathematical model for ciliary-induced transport in MHD flow of Cu-H 2 O nanofluids with magnetic induction

“…Roberts [31] experimentally confirmed the importance of incorporating electromagnetic induction in realistic hemodynamic simulations, presenting one of the first investigations of blood magnetohydrodynamics over four decades ago, based on work at the King's College Hospital, London. Much later magnetic induction phenomena were studied in bio-metallic polymer flows by Bég et al [32] who described in some detail the influence of magnetic Prandtl number and also the magnetic flux distribution associated with magnetic Reynolds number. Further investigations of combined heat transfer and magnetohydrodynamic flow with induction effects were communicated by Ghosh et al [33] with buoyancy present, Ghosh et al [34] for oblique magnetic field and Maxwell displacement current effects and by Zueco and Bég [35] for magnetic induction squeeze film swirl hydrodynamics with Batchelor number effects.…”

“…Further investigations of combined heat transfer and magnetohydrodynamic flow with induction effects were communicated by Ghosh et al [33] with buoyancy present, Ghosh et al [34] for oblique magnetic field and Maxwell displacement current effects and by Zueco and Bég [35] for magnetic induction squeeze film swirl hydrodynamics with Batchelor number effects. The studies [32][33][34][35] however did not specifically address biological applications, rather they considered respectively electromagnetic propulsion systems (magneto-gas dynamic accelerators) and landing gear systems for astronautical vehicles. However Bhargava et al [36] ACCEPTED MANUSCRIPT A C C E P T E D M A N U S C R I P T 6 did implement the formulations in [32][33][34][35] to consider electromagnetic induction phenomena in biomagnetic micro-rheological blood flows in tissue using the Rosensweig ferrohydrodynamic theory and a variational finite element code.…”

“…The studies [32][33][34][35] however did not specifically address biological applications, rather they considered respectively electromagnetic propulsion systems (magneto-gas dynamic accelerators) and landing gear systems for astronautical vehicles. However Bhargava et al [36] ACCEPTED MANUSCRIPT A C C E P T E D M A N U S C R I P T 6 did implement the formulations in [32][33][34][35] to consider electromagnetic induction phenomena in biomagnetic micro-rheological blood flows in tissue using the Rosensweig ferrohydrodynamic theory and a variational finite element code. They showed that magnetization effects in rheological blood flow can only be properly identified via the inclusion of extra magnetic induction equations.…”

Induced magnetic field with radiating fluid over a porous vertical plate: analytical study

“…Raptis and Soundalgekar (1982) considered the problem of flow of an electrically conducting fluid past a steadily moving vertical infinite plate in presence of constant heat flux and constant suction at the plate and induced magnetic field is also taken into account. Recently, Bég et al (2009) obtained local non-similarity numerical solutions for the velocity, temperature and induced magnetic field distributions in forced convection hydromagnetic boundary layers, over an extensive range of magnetic Prandtl numbers and Hartmann numbers. Alom et al (2008) investigated the steady MHD heat and mass transfer by mixed convection flow from a moving vertical porous plate with induced magnetic, thermal diffusion, constant heat and mass fluxes and the non-linear coupled equations are solved by shooting iteration technique.…”