Melting heat transfer analysis of electrically conducting nanofluid flow over an exponentially shrinking/stretching porous sheet with radiative heat flux under a magnetic field

Abstract

Modern magnetic nanomaterial processing operations are progressing rapidly and require increasingly sophisticated mathematical models for their optimization. Stimulated by such developments, in this paper, a theoretical and computational study of a steady magnetohydrodynamic nanofluid over an exponentially stretching/shrinking permeable sheet with melting (phase change) and radiative heat transfer is presented. Besides, wall transpiration, that is, suction and blowing (injection), is included. This study deploys Buongiorno's nanofluid model, which simulates the effects of the Brownian motion and thermophoresis. The transport equations and boundary conditions are normalized via similarity transformations and appropriate variables, and the similarity solutions are shown to depend on the transpiration parameter. The emerging dimensionless nonlinear coupled ordinary differential boundary value problem is solved numerically with the Newton-Fehlberg iteration technique. Validation with special cases from the literature is included.

Unveiling the Performance of Cu–Water Nanofluid Flow with Melting Heat Transfer, MHD, and Thermal Radiation over a Stretching/Shrinking Sheet

“…The development of advanced computational techniques has been crucial in accurately and efficiently solving these complex problems. 11,12 Stretching and shrinking of sheet flow has been extensively studied due to its relevance in various industrial processes such as paper production, glass manufacturing, metal containers, polymer processing, and quality control among others. 13 Research has been carried out to investigate the characteristics of fluids in the vicinity of a surface that is either being stretched or contracted in depth by numerous researchers, following the pioneering work of Sakiadis 14 in 1961.…”

“…However, simulating MHT is challenging due to the coupling between fluid dynamics and the moving interface, which is referred to as a “Stefan moving boundary” problem. The development of advanced computational techniques has been crucial in accurately and efficiently solving these complex problems. , …”

Magnetohydrodynamic micropolar slip flow due to an exponentially stretching sheet with chemical reaction and nonuniform heat generation

“…Mandal and Mukhopadhyay 25 examined how the heat source and sink, as well as the suction and blowing, affected the flow of a micropolar nonlinear convection fluid through a nonisothermal exponentially stretched sheet. The heat transfer characteristics due to melting on MHD forced convection nanofluid flow over an exponentially stretching/shrinking porous sheet with radiative heat flux have been examined by Venkatadri et al 26 Dawar et al 27 have examined how the microstructural slip parameter affects the flow of the MHD micropolar fluid within the boundary layer. The transfer of heat due to the MHD micropolar fluid flow across an exponentially stretched sheet with velocity slip and thermal radiation has been investigated by Mandal et al 28 Reddy et al 29 investigated the impact of chemical reaction on MHD‐free convection fluid flow across an exponentially stretched sheet with heat source/sink and viscous dissipation.…”

Numerical simulation for bioconvectional flow of burger nanofluid with effects of activation energy and exponential heat source/sink over an inclined wall under the swimming microorganisms

“…Buongiorno 2 explores the two peculiar sliding mechanisms, in particular, the Brownian diffusion and thermophoresis influence, to enhance the normal convection rate of the heat energy distribution. Venkatadri et al 3 researched a melting heat transport of an electrical nanofluid flow conductor towards an exponentially shrank/extended porous layer with nonlinear radiative Cattaneo-Christov heat flux under a magnetic field. Mondal et al 4 have studied the impact of the heat exchange of magnetohydrodynamics on the stagnation point flow over the extended or decreasing surface by homogeneous chemical reactions.…”