Abstract
In this work, a comprehensive study of fluid forces and thermal analysis of two-dimensional, laminar, and incompressible complex (power law, Bingham, and Herschel–Bulkley) fluid flow over a topological cross-sectional cylinder (square, hexagon, and circle) in channel have been computationally done by using finite element technique. The characteristics of nonlinear flow for varying ranges of power law index 0.4 ≤ n ≤ 1.6 , Bingham number 0 ≤ Bn ≤ 50 , Prandtl number 0.7 ≤ Pr ≤ 10 , Reynolds number 10 ≤ Re ≤ 50 , and Grashof number 1 ≤ Gr ≤ 10 have been examined. Considerable evaluation for thermal flow field in the form of dimensionless velocity profile, isotherms, drag and lift coefficients, and average Nusselt number Nu avg is done. Also, for a range of Bn , the drag forces reduction is observed for circular and hexagonal obstacles in comparison with the square cylinder. At Bn = 0 corresponding to Newtonian fluid, maximum reduction in drag force is reported.
Highlights
Since the last several decades, heat transfer from a single cylinder has been widely considered, given its significance in various fields of engineering mathematical problems. e key research factors for the design, maintenance of electric cooling system, evaporators, heat exchangers, thermal plants and automobile radiators, etc., can be reported
The reference velocity is U∞ (2/3)Umax,where Umax 0.3 is the maximum velocity of given parabolic profile at the inlet. e local Nusselt (Nulocal) number on the surface of duct and fins is estimated by Nulocal −. Such values have been more averaged over both surfaces to obtain the average Nusselt (Nuavg) number given as where “S” and “ns” are the surfaces of thermal region and normal direction of the surface; it is reasonable to postulate that the drag coefficient is function of Rewhereas the Nuavg depends on the Prandtl number (Pr). is work endeavors to exhibit and develop more efficient functional relationship for circular cylinder in future
Results and Discussions is work endeavors in three different cross-sectional cylinders with significant boundary conditions to elucidate the impact of non-Newtonian fluid flow and heat transfer behavior. e results shown in this study cover the range of parameters as: 0.4 ≤ n ≤ 1.8, 10 ≤ Reynolds number (Re) ≤ 50, 0 ≤ Bingham number (Bn) ≤ 50, 0.7 ≤ Pr ≤ 10, and 1 ≤ Grashof number (Gr) ≤ 10, respectively
Summary
Since the last several decades, heat transfer from a single cylinder (circular, square) has been widely considered, given its significance in various fields of engineering mathematical problems. e key research factors for the design, maintenance of electric cooling system, evaporators, heat exchangers, thermal plants and automobile radiators, etc., can be reported. Laidoudi et al [3, 4] analyzed the characteristics of mixed convection thermal flow of dual circular cylinders at low Reynolds number. Laidoudi et al [9] considered the effects of the free convection fluid flow between two cylinders at high Reynolds number in a circular duct and provided the correlation impacts of the average Nusselt number. Shyam et al [12] numerically studied the influence of thermal flow of free convection over a constant heated block in a square duck and reported the effects of average Nusselt number on Grashof and Prandtl number against power law index. Baranwal and Chhabra [13] considered an incompressible free convective thermal flow of power law fluid over a confined cylinder in square cavity.
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