Mathematical Assessment of Convection and Diffusion Analysis for A Non-Circular Duct Flow with Viscous Dissipation: Application of Physiology

Abstract

The present analysis has interesting applications in physiology, industry, engineering and medicine. Peristaltic pumps acquire an elliptical cross-section during motion. Peristaltic pumps, roller pumps and finger pumps also have highly useful applications. Transportation through these pumps provides an effective fluid movement and the substance remains separate from the duct walls. Convection and diffusion analyses were executed with accentuated viscous dissipation for the non-Newtonian flow that occurs inside a duct. The viscous effects are reviewed with an integrated convection and diffusion analysis that elucidates in-depth heat flux. Viscous dissipation appears to be the primary cause of increased heat generation. The Cartesian coordinate system is availed to develop this problem under consideration. A dimensionless set of coupled partial differential equations is attained by utilizing the relevant transformations that eventually simplify this complex problem. These coupled equations are solved step by step with a consideration of a polynomial solution method for coupled equations. The unfolded graphical outcomes of velocity, temperature and concentration reveal an axial symmetric flow. A higher rate of convection is observed due to viscous effects. Both the velocity and temperature profiles have an increasing function of Q.

Flow investigation of the stagnation point flow of micropolar viscoelastic fluid with modified Fourier and Fick’s law

“…The visco-elastic fluid flow through a permeable media was described by Prasad et al 15 as a result of the consequences of reaction rate on the transportation of chemically reactive species towards a stretched sheet. Riaz et al 16 addressed the entropy generation impacts and irreversibility comparison flow of Cu-blood nanofluid flow under the applied magnetic field and viscous dissipation impacts through a curved channel. Nadeem et al 17 investigated convection and diffusion analysis by mathematical assessment under the viscous dissipation into a noncircular duct.…”