Thermal Analysis of Fluid Flow with Heat Generation for Different Logarithmic Surfaces

Abstract

This study investigated the effect of temperature changes on different logarithmic surfaces. Onedimensional heat transfer was considered. The heat generation source term is added to the governing equations. Most scientific problems and phenomena such as heat transfer occur nonlinearly, and it is not easy to find exact analytical solutions. Using the appropriate similarity transformation for temperature and the generation components causes the basic equations governing flow and heat transfer to be reduced to a set of ordinary differential equations. These equations have been solved approximately subject to the relevant boundary conditions with numerical and analytical techniques. According to the given boundary conditions, Collocation, Galerkin, and least squares methods were used to find an answer to the governing differential equations. The validation of the present techniques has been done with the fourth-order Runge-Kutta method as a numerical method. The temperature profiles for different values of β and α have been obtained. The results showed that the proposed methods could consider nonlinear equations in heat transfer. Therefore, the results accepted by current analytical methods are very close to those of numerical methods. Comparing the results provides a more realistic solution and reinforces the conclusions regarding the efficiency of these methods. Furthermore, changes in temperature profiles occur with decreasing and increasing β and α numbers.

Analysis of MHD and Heat Transfer Characteristics of Thermally Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution

“…The study of MHD and heat transfer characteristics of fluid flow spans a range of scientific and engineering domains, including the petroleum industry, nuclear reactor, earth science, and metallurgy, specifically in the manufacturing process of polymers, artificial fibers, and thin films and many more [28][29][30][31][32][33]. Swati Mukhopadhyay [34] analysed the heat transfer profile of Maxwell fluid numerically using the shooting method.…”

Squeezing flow of Casson fluid between two circular plates under the impact of solar radiation

“…Also, much research on heat transfer problems in different geometries has been performed analytically and numerically. In many of these researches, fluid temperature parameters have been measured [21][22][23][24][25][26][27][28][29][30][31].…”

Existence and Uniqueness of Renormalized Solution to Nonlinear Anisotropic Elliptic Problems with Variable Exponent and L 1 -Data

“…Nonlinear PDEs appear in many felds including chemistry, physics, and engineering science (see [1][2][3][4][5]). For example, in [6], Gandji et al used nonlinear equations to study the three-dimensional Bödewadt hybrid nanofuid fow where fuids are composed of water and hexanol.…”