The study of a steady coupled dissipative layer, known as the Mangaroni mixed convection boundary layer, in the presence of a magnetic field is presented. The mixed convection boundary layer is generated when in addition to Marangoni (thermocapillary) effects there are also buoyancy effects due to gravity and external pressure gradient effects. In the model considered the Marangoni coupling condition has been included in the boundary conditions at the interface. Similarity transformations are utilized to transform the governing partial differential conservation equations into nondimensional ordinary differential equations in a single independent space variable (η) and solved using the network simulation method (NSM) using an electronic circuit simulator, Pspice. NSM is founded on the classical thermoelectric analogy between thermal and electrical variables. A set of finite-differential equations, one for each control volume, was obtained by spatial discretization of the transformed equations. The solution...

Network numerical simulation of hydromagnetic marangoni mixed convection boundary layers

Double-diffusive boundary layers along vertical free surfaces

The paper considers the influence of thermal Maragoni convection on boundary layer flow of two-phase dusty fluid along a vertical wavy surface. The dimensionless boundary layer equations for two-phase problem are reduced to a convenient form by primitive variable transformation (PVF) and then integrated numerically by employing the implicit finite difference method along with the Thomas Algorithm. The effect of thermal Maragoni convection, dusty water and sinusoidal waveform are discussed in detail in terms of local heat transfer rate, skin friction coefficient, velocity and temperature distributions. This investigation reveals the fact that the water-particle mixture reduces the rate of heat transfer, significantly.

https://jafmonline.net/JournalArchive/download?file_ID=42103&issue_ID=239

Thermal Maragoni Convection of Two-phase Dusty Fluid Flow Along a Vertical Wavy Surface

Marangoni flow and mass transfer of power-law non-Newtonian fluids over a disk with suction and injection

A system of equations describing boundary layers of nonlinear generalized Newtonian viscous fluids with the Ladyzhenskaya rheological law is studied. The well-posedness of the stated problem is proved by applying the von Mises transformation method, which transforms the system of boundary layer equations into a quasilinear degenerate parabolic equation.

V.V. Pukhnachov

Papers

Marangoni boundary layers