Periodically moving surface in an Oldroyd‐B fluid with variable thermal conductivity and Cattaneo‐Christov heat flux features

Abstract

AbstractHere, we have endeavored the rheological aspects of Oldroyd‐B fluid induced by an accelerated and periodically moving sheet. The heat transfer evolution has been characterized with employment of novel Cattaneo‐Christov law. Further features of heat transfer are characterized with heat generation/absorption and thermal conductivity depending upon the temperature. The governing equations have been constituted properly with utilization of associated laws. After truncating the flow problem in dimensionless form, we follow famous analytic procedure, namely, homotopy analysis technique to simulate the solution. The convergence of the solution is established by sketching the h‐curves. While assigning suitable constant values to involved physical parameters like Deborah number, thermal relaxation parameter, Prandtl number, and heat source/sink constants, the change in particles movement and heat transfer rate has been examined. It is observed that the velocity profile decreases with increments in Deborah constant, in terms of relaxation time constant. The presence of variable thermal conductivity and heat source parameters enhance the temperature distribution efficiently.Significance of ResultsRecently, non‐Newtonian fluids have attracted the interest of scientists due to their significant use in various chemical, mechanical, and processing industries. Some essential applications of such materials arise in polymer processing, food industries, paints, petroleum industries, biomedical engineering, and so forth. Besides this, the heat transportation phenomenon in non‐Newtonian fluids flow engaged diverse novel applications in area of engineering processes, and also appeared in chemical, mechanical, and processing industries. The present problem may find engineering applications in paper production, glass blowing, polymer solution, and metal extrusion. The proposed results are useful in extrusion system applications, energy production, and manufacturing processes.