Magnetohydrodynamics streamwise and cross flow of hybrid nanofluid along the viscous dissipation effect: Duality and stability

Abstract

One of the most pressing issues in contemporary applied mathematics is the regulation of energy transfer via the application of external forces. The processes of heat transfer are affected by magnetic force, which has many practical uses in industry, engineering, and medicine. This research explores the magnetohydrodynamics (MHD) three-dimensional stable axisymmetric boundary layer over a permeable moving plate, which consist of water as a base liquid and binary distinct nanoparticles to generate a hybrid nanofluid. In all of these, flow beyond the boundary layer area might be calculated by a small crosswise velocity. As a result of its high thermal conductivity, a pair of distinct kinds of nanoparticles have been considered, namely alumina and copper, which are integrated into the base water. The mathematical model is built within a boundary of specified geometry and then converted into a set of ordinary differential equations (ODEs). Resultant ODEs are solved numerically using the technique of three-stage Lobatto IIIa in bvp4c solver in 2017, MATLAB software. Results revealed that two branches exist in certain ranges of moving parameter. Impacts of an increasing physical parameter on profiles of velocities and temperature with skin friction as well as with heat transfer rate are represented in graphs. The effect of viscous dissipation on the temperature profile in the -direction has the same rising results as observed in the -direction. According to the results of the temporal stability analysis, the upper branch is realizable and stable.

A modification of explicit time integrator scheme for unsteady power-law nanofluid flow over the moving sheets

“…We use graphs to discuss how physical parameters like chemical reactions, heat sources and sinks, Hall current, and thermal properties affect concentration, temperature, and velocity profiles. The three-dimensional stable axisymmetric boundary layer over a permeable moving plate is investigated in depth in this study (Lund et al, 2023). As its base liquid, water contains two or more distinct types of nanoparticles in the hybrid nanofluid.…”

Magneto-hydrodynamic boundary layer flow and heat transfer of hybrid carbon nanotube over a moving surface

“…In recent years, numerous researchers have studied the boundary layer flows caused by moving surfaces on different fluids such as nanofluids [11][12][13][14], carbon nanotubes [15][16][17], hybrid nanofluids [18][19][20] and hybrid carbon nanotubes [9]. Sakiadis [21] has studied the classical problem of the boundary layer flow resulting from a continuously solid moving surface moving at a constant velocity.…”