scholarly journals Non-Newtonian conducting fluid flow and heat transfer due to a rotating disk

2004 ◽  
Vol 46 (2) ◽  
pp. 237-248 ◽  
Author(s):  
Hazem A. Attia ◽  
Mohamed E. S. Ahmed
Keyword(s):  
Heat Transfer ◽  
Numerical Solutions ◽  
Hall Current ◽  
Rotating Disk ◽  
Conducting Fluid ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Fluid Characteristics

AbstractThe steady flow of an incompressible viscous non-Newtonian electrically conducting fluid and heat transfer due to the rotation of an infinite disk are studied considering the Hall effect. The effects of an externally applied uniform magnetic field, the Hall current, and the non-Newtonian fluid characteristics on the velocity and temperature distributions as well as the heat transfer are considered. Numerical solutions of the nonlinear equations which govern the magnetohydrodynamics (MHD) and energy transfer are obtained over the entire range of the physical parameters.

Mixed Convection Cooling of a Stretching Sheet in the Presence of a Magnetic Field for Manufacturing Processes

2009 ◽  
Vol 419-420 ◽  
pp. 353-356 ◽  
Author(s):  
Chien Hsin Chen
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Numerical Solutions ◽  
Conducting Fluid ◽  
Manufacturing Processes ◽  
Stretching Surface ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Rate Of Cooling

The problem of flow and heat transfer over a continuously stretching surface finds applications in many manufacturing processes, such as polymer extrusion, wire drawing, continuous casting, glass fiber production, and metallurgical processes. It is known that the properties of the final product depend considerably on the rate of cooling during the manufacturing processes. The rate of cooling can be controlled by drawing the strips in an electrically conducting fluid subject to a magnetic field, so that a final product of desired characteristics can be achieved. In this study, the problem of magneto-hydrodynamic (MHD) mixed convective flow and heat transfer of an electrically conducting fluid past a stretching surface under the influence of an applied magnetic field is analyzed. After transforming the governing equations with suitable dimensionless variables, numerical solutions are generated by an implicit finite-difference technique for the non-similar, coupled flow. To reveal the tendency of the solutions, typical results for the velocity and temperature profiles, the skin-friction coefficient, and the local Nusselt number are presented for different parameters.

Effect of Local Magnetic Fields on Electrically Conducting Fluid Flow and Heat Transfer

2012 ◽  
Vol 135 (2) ◽  
Author(s):  
Xidong Zhang ◽  
Hulin Huang
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Reynolds Number ◽  
Vortex Shedding ◽  
Conducting Fluid ◽  
Local Magnetic Field ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
The Impact

The prediction of electrically conducting fluid past a localized zone of applied magnetic field is the key for many practical applications. In this paper, the characteristics of flow and heat transfer (HI) for a liquid metal in a rectangular duct under a local magnetic field are investigated numerically using a three-dimensional model and the impact of some parameters, such as constrainment factor, κ, interaction parameter, N, and Reynolds number, Re, is also discussed. It is found that, in the range of Reynolds number 100 ≤ Re ≤ 900, the flow structures can be classified into the following four typical categories: no vortices, one pair of magnetic vortices, three pairs of vortices and vortex shedding. The simulation results indicate that the local heterogeneous magnetic field can enhance the wall-heat transfer and the maximum value of the overall increment of HI is about 13.6%. Moreover, the pressure drop penalty (ΔPpenalty) does not increasingly depend on the N for constant κ and Re. Thus, the high overall increment of HI can be obtained when the vortex shedding occurs.

Mixed Convective Flow of Electrically Conducting Fluid in a Vertical Cylindrical Annulus With Moving Walls Adjacent to a Radial Magnetic Field Along With Transpiration

2019 ◽  
Vol 141 (8) ◽  
Author(s):  
Ali Shakiba ◽  
Asghar B. Rahimi
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Mixed Convection ◽  
Conducting Fluid ◽  
Cylinder Wall ◽  
Radial Magnetic Field ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Cylindrical Annulus ◽  
Electrically Conducting Fluid

The steady, viscous flow and mixed convection heat transfer of an incompressible electrically conducting fluid within a vertical cylindrical annulus with moving walls are investigated. This annulus is under the influence of a radial magnetic field and the fluid is suctioned/injected through the cylinders' walls. An exact solution of the Navier–Stokes equations and energy equation is derived in this problem where heat is transferred from the hot cylinder walls with constant temperature to the cooler moving fluid. The role of the movement of the annulus walls is studied on the flow and heat transfer of the fluid within the annulus, for the first time. The effects of other parameters, including Prandtl number, Hartman number, mixed convection parameter, suction/injection parameter and ratio of the radius, on the behavior of the flow and heat transfer of the fluid is also considered. The results indicate that if, for example, the internal cylinder wall moves in the direction of z-axis and the external cylinder is stationary, the maximum and minimum heat transfer occur on the walls of internal and external cylinders, respectively. Moreover, the augmentation of the radius ratio between the two cylinders increases the rate of heat transfer and decreases the shear stress on the wall of the internal and external cylinders, however, the results on the wall of external cylinder are exactly the reverse. Consequently, by changing the effective parameters used in this paper, the flow of the fluid can be controlled and the heat transfer of the fluid can be improved.

Flow and Heat Transfer of Bingham Plastic Fluid over a Rotating Disk with Variable Thickness

2016 ◽  
Vol 71 (11) ◽  
pp. 1003-1015 ◽  
Author(s):  
Chunyan Liu ◽  
Mingyang Pan ◽  
Liancun Zheng ◽  
Chunying Ming ◽  
Xinxin Zhang
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Variable Thickness ◽  
Shape Parameter ◽  
Rotating Disk ◽  
Physical Parameters ◽  
Bingham Plastic ◽  
Flow And Heat Transfer ◽  
Approximate Analytical Solutions ◽  
Plastic Fluid

AbstractThis paper studies the steady flow and heat transfer of Bingham plastic fluid over a rotating disk of finite radius with variable thickness radially in boundary layer. The boundary layer flow is caused by the rotating disk when the extra stress is greater than the yield stress of the Bingham fluid. The analyses of the velocity and temperature field related to the variable thickness disk have not been investigated in current literatures. The governing equations are first simplified into ordinary differential equations owing to the generalized von Kármán transformation for seeking solutions easily. Then semi-similarity approximate analytical solutions are obtained by using the homotopy analysis method for different physical parameters. It is found that the Bingham number clearly influences the velocity field distribution, and the skin friction coefficientCfris nonlinear growth with respect to the shape parameterm. Additionally, the effects of the involved parameters (i.e. shape parameterm, variable thickness parameterβ, Reynolds number Rev, and Prandtl number Pr) on velocity and temperature distribution are investigated and analyzed in detail.

scholarly journals UNSTEADY BOUNDARY LAYERS: CONVECTIVE HEAT TRANSFER OVER A VERTICAL FLAT PLATE

2009 ◽  
Vol 50 (4) ◽  
pp. 541-549 ◽  
Author(s):  
ROBERT A. VAN GORDER ◽  
K. VAJRAVELU
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Numerical Solutions ◽  
Approximate Solutions ◽  
Shear Thinning ◽  
Momentum Equation ◽  
Physical Parameters ◽  
Flow And Heat Transfer ◽  
Special Cases ◽  
Layer Flow

AbstractIn this paper, we extend the results in the literature for boundary layer flow over a horizontal plate, by considering the buoyancy force term in the momentum equation. Using a similarity transformation, we transform the partial differential equations of the problem into coupled nonlinear ordinary differential equations. We first analyse several special cases dealing with the properties of the exact and approximate solutions. Then, for the general problem, we construct series solutions for arbitrary values of the physical parameters. Furthermore, we obtain numerical solutions for several sets of values of the parameters. The numerical results thus obtained are presented through graphs and tables and the effects of the physical parameters on the flow and heat transfer characteristics are discussed. The results obtained reveal many interesting behaviours that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

Sign in / Sign up

Export Citation Format

Share Document