Abstract
Nonisothermal flow through the rectangular channel on a circular surface under the influence of a screen embedded at the middle of a channel at angles θ is considered. Simulations are carried out via COMSOL Multiphysics 5.4 which implements the finite element method with an emerging technique of the least square procedure of Galerkin’s method. Air as working fluid depends upon the Reynolds number with initial temperature allowed to enter from the inlet of the channel. The nonisothermal flow has been checked with the help of parameters such as Reynolds number, angle of the screen, and variations in resistance coefficient. The consequence and the pattern of the velocity field, pressure, temperature, heat transfer coefficient, and local Nusselt number are described on the front surface of the circular obstacle. The rise in the temperature and the flow rate on the surface of the obstacle has been determined against increasing Reynolds number. Results show that the velocity magnitudes are decreasing down the surface and the pressure is increasing down the surface of the obstacle. The pressure on the surface of the circular obstacle was found to be the function of the y-axis and does not show any impact due to the change of the resistance coefficient. Also, it was indicated that the temperature on the front circular surface does not depend upon the orientation of the screen and resistance factor. The heat transfer coefficient is decreasing which indicates that the conduction process is dominating over the convection process.
Highlights
Introduction and Literature ReviewWhen any type of fluid having some initial velocity and the temperature is coming to strike with a certain surface especially the circular surface, it transmits the heat/energy on the surface at a certain pattern of behavior or with the certain amplitude [1]
A nonisothermal flow of air around the circles was studied [7] with the range of the Reynolds number from 40 to 10,000 by putting the Prandtl number at 0.7 with the use of commercial software FLUENT. e circles were arranged as in-line and staggered and suggested that the heat transfer is optimized when the circles are arranged in a staggered pattern
It was suggested that there may be an authentic but strong relation that exist between the new drag coefficient, mass, and heat transfer, and the relation provided in the study may be crucial due to the lack of information on the Nusselt and Sherwood number. e computational and theoretical study [13] was done for the understanding of the heat transfer with free convection and fluid flow on the outer surface of circular cylinder present under the electro-conductive polymer solution
Summary
When any type of fluid having some initial velocity and the temperature is coming to strike with a certain surface especially the circular surface, it transmits the heat/energy (depending upon the velocity and several factors) on the surface at a certain pattern of behavior or with the certain amplitude [1]. An emerging technique [27] was developed known as Galerkin’s least square procedure to solve all types of fluid flow and heat transfer problems relating to compressible and incompressible fluids According to their suggestion, if the Navier–Stokes equations are assumed as the quasilinear form, a general formulation can be derived through the finite element method to get the entropy variables velocity, temperature, and pressure. We are going to focus on the fluid flow behavior and heat transfer to the surface of the circular obstacle in the presence of the screen arranged for π/6, π/4, and π/3 with the Reynolds number from 1000 to 10,000 using the different coefficients of the resistance of the screen from 1 to 3. We intend to give the optimum solution for both the velocity field, temperature, and the pressure of the fluid related to the parameter used in the current problem
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