Thermosolutal Marangoni boundary layer flows are of great interest due to their applications in industrial applications such as drying of silicon wafers, thin layers of paint, glues, in heat exchangers, and crystal growth in space. The present analysis deals with the effect of chemical radiation and heat absorption/generation of the viscous fluid flow on a thermosolutal Marangoni porous boundary with mass transpiration and heat source/sink. The physical flow problem is mathematically modeled into Navier–Stokes equations. These nonlinear partial differential equations are then mapped into a set of nonlinear ordinary differential equations using similarity transformation. The analytical solutions for velocity, temperature, and concentration profiles are rigorously derived. The solutions so obtained are analyzed through various plots to demonstrate the effect of various physical parameters such as mass transpiration parameter V_c, inverse Darcy number Da⁻¹, Marangoni number Ma, Schmidt number Sc, chemical reaction coefficient (K), Prandtl number (Pr), thermal radiation parameter (N_R), and the heat source/sink parameter (I) on the momentum/thermal boundary, and their physical insights are also reported.

The viscous fluid flow past a semi-infinite porous solid, which is proportionally sheared at one boundary with the possibility of the fluid slipping according to Navier’s slip or second order slip, is considered here. Such an assumption takes into consideration several of the boundary conditions used in the literature, and is a generalization of them. Upon introducing a similarity transformation, the governing equations for the problem under consideration reduces to a system of nonlinear partial differential equations. Interestingly, we were able to obtain an exact analytical solution for the velocity, though the equation is nonlinear. The flow through the porous solid is assumed to obey the Brinkman equation, and is considered relevant to several applications.

MHD flow of an electrically conducting Newtonian fluid over a super linear stretching sheet in the presence of suction/injection and Navier slip is studied using modified Adomain decomposition method...

Boundary layer flows of an incompressible conductive fluid past a porous stretching sheet are widely investigated in connection with their applications in chemical and engineering processes involving stretchable materials, like cooling of a molten liquid, extrusion processes, manufacturing of polymer fibers, etc. The flow problem is mathematically modeled into nonlinear partial differential equations governing the momentum and heat transfer in the boundary layer, which are transformed into nonlinear ordinary differential equations via similarity transformations. The analytical solutions for the energy equations are found through transformation of the governing thermal boundary layer problems into confluent hypergeometric differential equations. The temperature profile is analyzed for two types of boundary heating processes: with a prescribed surface temperature (PST) and with a prescribed heat flux (PHF), which are quadratic in nature. The effects of the viscous dissipation term or Eckert number, Prandtl number, inverse Darcy number, and Chandrasekhar number on velocity profiles are analyzed graphically using various plots.