Acquiring an analytical solution and performing a comparative sensitivity analysis for flowing Maxwell upper-convected fluid on a horizontal surface. (1st June 2021)

• Record Type: Journal Article
• Authors: Hoseinzadeh, Siamak; Sohani, Ali; Shahverdian, Mohammad Hassan; Shirkhani, Amin; Heyns, Stephan
• Is Part Of: Thermal science and engineering progress. Volume 23(2021)
• Publication Date: 2021-06-01
• Subjects: Computer simulation -- Horizontal plate -- Mathematical solution -- Maxwell upper-convected fluid -- Porous media -- Sensitivity analysis; Heat engineering -- Periodicals; Heat engineering; Thermodynamics; Periodicals; 621.402
• DOI: 10.1016/j.tsep.2021.100901
• Languages: English
• ISSNs: 2451-9049

Abstract

Highlights: An excellent agreement between analytical and numerical solutions is seen. The more Deborah is, the lower skin friction coefficient is observed. Both drag force and hydraulic boundary layer decline when porosity increases. Decrease in Deborah and increase in porosity both lead to enhancing heat transfer. Abstract: The problem of flowing a Maxwell upper-convected fluid on a horizontal surface is considered here in two conditions. One is the condition in which the plate is made of a porous material, and another one when it is not. For each case, the analytical solution is found using a technique called homotopy perturbation method (HPM). The codes developed in Maple software program are employed for this purpose, and the profiles for velocity and temperature are obtained. The provided analytical solution for each condition is validated using the numerical simulation of the boundary value problem (BVP), and then, a comprehensive sensitivity analysis is carried out. According to the results, for each case, an excellent agreement between the numerical simulation and analytical solution is seen. Moreover, it is found that the skin friction coefficient has a downward trend for both conditions when Deborah goes up. Furthermore, increasing the porosity coefficient is accompanied by decrease in both drag force and hydraulic boundary layer. In addition, for the investigated conditions, having a higher porosity factor leads to an enhancement in the heat transfer, whereas a decrease in Deborah has the same effect.