Pressure-Driven Thermal Slip Flow in the Elliptical Channel with Radial Oscillatory Wall

Abstract

This paper is aimed at presenting thermal slip flow driven by oscillatory pressure gradient in a deformable microchannel of elliptic cross-section. The fully developed flow of Newtonian fluid is considered, and Navier slip is applied on the boundary. The boundary value problem is formulated and applied to the coronary blood flow-heat transfer phenomenon during thermotherapy treatment. Its semianalytical solutions of velocity and temperature fields are carried out by the Ritz method. The effects of oscillatory wall and slip length on velocity and temperature fields of blood are investigated.

Influence of ramped pressure gradient on transient flow formation in a horizontal porous channel

“…Pressure‐driven flow in a channel with porous walls has been formerly studied by a considerable number of researchers owing to its applications in the fields of sciences, medical sciences, and engineering. The thermal slip flow driven by the oscillatory pressure gradient in a distortable microchannel of the elliptic cross‐section was presented, the boundary value problem was developed and solved and noticed to be applied to coronary blood flow‐heat transfer phenomenon during thermotherapy treatment as reported by Chuchalerm et al 1 Jha and Oni 2 studied the mathematical modeling of combined effects of pressure‐driven and electrokinetic effects in the space between two parallel plates, with an induced magnetic field. Theoretical studies on the smooth and regular flow of an incompressible fluid in the space between two concentric cylinders with a rapidly decaying/growing time‐dependent pressure gradient were reported by Jha and Gambo 3–5 .…”