scholarly journals Combined Convective Transport of Brinkman-viscoelastic Fluid Across Horizontal Circular Cylinder with Convective Boundary Condition

2021 ◽  
Vol 89 (2) ◽  
pp. 15-24
Author(s):  
Siti Farah Haryatie Mohd Kanafiah ◽  
Abdul Rahman Mohd Kasim ◽  
Syazwani Mohd Zokri ◽  
Mohd Rijal Ilias
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Circular Cylinder ◽  
Viscoelastic Fluid ◽  
Transfer Process ◽  
Convective Boundary Condition ◽  
Heat Transfer Process ◽  
Convective Transport ◽  
Convective Boundary ◽  
Horizontal Circular Cylinder

Traditional heat transfer fluids frequently encounter several limitations in the heat transfer process, due to the lower thermal conductivity in heat transfer process industries, and also has an impact on the performance of heat transfer in industrial sectors. In order to overcome the problem, researchers have currently considered an alternative development of heat transfer of fluids. Hence, this study will concentrate on the problem of steady combined convective transport. In particular, the flow of Brinkman-viscoelastic fluid over a horizontal circular cylinder with the influence of convective boundary condition (CBC) was investigated. Using the necessary similarity transformation, the governing equations were converted into a less complicated form and numerically solved by using Runge-Kutta-Fehlberg-method, which was programmed in Maple software. The influence of Biot number, combined convection, Brinkman and viscoelastic parameters are analyzed and demonstrated in graphs and tables. Numerical result showed that the fluid velocity increased with improving conjugate and combined convection parameter, but decreased with increasing Brinkman and viscoelastic parameter. It is also discovered the reverse trend on temperature profiles.

Finite Volume Method for Fractional Maxwell Viscoelastic Fluid Over a Moving Plate With Convective Boundary Condition

2020 ◽  
Vol 142 (11) ◽  
Author(s):  
Jinhu Zhao
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Viscoelastic Fluid ◽  
Convective Boundary Condition ◽  
Moving Plate ◽  
Convective Boundary ◽  
Flow And Heat Transfer ◽  
Volume Method

Abstract A novel finite volume method about the boundary layer flow and heat transfer of fractional viscoelastic fluid over a moving plate with convective boundary condition is developed. The fractional Maxwell model and fractional Fourier's law are employed in the constitutive relations. Numerical solutions are obtained and validated by exact solutions of special case with source terms. The effects of fractional parameters on the flow and heat transfer characteristics are analyzed. Results show that the viscoelastic fluid performs shear-thickening property with the increase of fractional parameter. Moreover, the variations of the average Nusselt number demonstrate that the viscoelastic fluid characterized by fractional Fourier's law has short memory in heat conduction process.

scholarly journals Mixed convection flow of Brinkman fluid with convective boundary condition at lower stagnation point of horizontal circular cylinder

2021 ◽  
Vol 2 (1) ◽  
pp. 01-10
Author(s):  
Siti Farah Haryatie Mohd Kanafiah ◽  
Abdul Rahman Mohd Kasim ◽  
Syazwani Mohd Zokri ◽  
Hussien Ali Muhammed Al Sharifi
Keyword(s):  
Boundary Condition ◽  
Circular Cylinder ◽  
Velocity Profile ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Convective Boundary ◽  
Horizontal Circular Cylinder

Convective heat transfer occurs when heat is transferred from one level to another upon  the motion of fluid.  Understanding on the characteristics of fluid flow is essential since it will produce the desired output of the product.  therefore, this paper examines the mixed convection flow at lower stagnation point of horizontal circular cylinder on Brinkman fluid saturated in porous region with convective boundary condition. The influence of Brinkman, mixed convection and conjugate parameter on the flow field are studied.  To reduce the complexity of the equations, a suitable similarity transformation is used. The numerical results of governing equations are obtained via bvp4c tools in Matlab. The effect of  mixed convection, Brinkman and conjugate parameter on the temperature and velocity profile, skin friction coefficient together with Nusselt number are analysed and portrayed in graph and table form.  The velocity profile increased with improving mixed convection and conjugate value, but decreased with increasing Brinkman factor.  It is also discovered that the temperature decrease when the mixed convection parameter increase.  This theoretical results will benefit the researchers, particularly in the manufacturing industry, in validating experimental study data.

Numerical investigation of laminar forced convection for a non-Newtonian nanofluids flowing inside an elliptical duct under convective boundary condition

2019 ◽  
Vol 29 (1) ◽  
pp. 334-364 ◽  
Author(s):  
Haroun Ragueb ◽  
Kacem Mansouri
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Heat Transfer Coefficient ◽  
Fluid Flow ◽  
Transfer Coefficient ◽  
Convective Boundary Condition ◽  
Bulk Temperature ◽  
Convective Boundary ◽  
Content Type ◽  
The Heat Transfer Coefficient

PurposeThe purpose of this study is to investigate the thermal response of the laminar non-Newtonian fluid flow in elliptical duct subjected to a third-kind boundary condition with a particular interest to a non-Newtonian nanofluid case. The effects of Biot number, aspect ratio and fluid flow behavior index on the heat transfer have been examined carefully.Design/methodology/approachFirst, the mathematical problem has been formulated in dimensionless form, and then the curvilinear elliptical coordinates transform is applied to transform the original elliptical shape of the duct to an equivalent rectangular numerical domain. This transformation has been adopted to overcome the inherent mathematical deficiency due to the dependence of the ellipsis contour on the variables x and y. The yielded problem has been successfully solved using the dynamic alternating direction implicit method. With the available temperature field, several parameters have been computed for the analysis purpose such as bulk temperature, Nusselt number and heat transfer coefficient.FindingsThe results showed that the use of elliptical duct enhances significantly the heat transfer coefficient and reduces the duct’s length needed to achieve the thermal equilibrium. For some cases, the reduction in the duct’s length can reach almost 50 per cent compared to the circular pipe. In addition, the analysis of the non-Newtonian nanofluid case showed that the addition of nanoparticles to the base fluid improves the heat transfer coefficient up to 25 per cent. The combination of using an elliptical duct and the addition of nanoparticles has a spectacular effect on the overall heat transfer coefficient with an enhancement of 50-70 per cent. From the engineering applications view, the results demonstrate the potential of elliptical duct in building light-weighted compact shell-and-tube heat exchangers.Originality/valueA complete investigation of the heat transfer of a fully developed laminar flow of power law fluids in elliptical ducts subject to the convective boundary condition with application to non-Newtonian nanofluids is addressed.

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