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.

Transfer of Heat in Rotating Systems

1976 ◽  
Author(s):  
A. D. Gosman ◽  
M. L. Koosinlin ◽  
F. C. Lockwood ◽  
D. B. Spalding
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Fluid Flow ◽  
Rotating Disk ◽  
Experimental Measurements ◽  
Steady Flows ◽  
Disk System ◽  
Rotating Systems ◽  
Flow And Heat Transfer ◽  
Layer Flow

A calculation procedure has been developed for predicting fluid-flow and heat-transfer phenomena in axisymmetrical, rotating, turbulent, steady flows, with special reference to those mainly confined within cavities. The procedure has been used for predicting boundary-layer flow between a rotating disk and a stationary one, and flow and heat transfer in a shrouded-disk system. Agreement with experimental measurements is satisfactory.

scholarly journals Variable thickness flow over a rotating disk under the influence of variable magnetic field: An application to parametric continuation method

2020 ◽  
Vol 12 (6) ◽  
pp. 168781402093638 ◽  
Author(s):  
Muhammad Shuaib ◽  
Rehan Ali Shah ◽  
Muhammad Bilal
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Variable Thickness ◽  
Numerical Scheme ◽  
Continuation Method ◽  
Finite Difference Methods ◽  
Rotating Disk ◽  
Variable Magnetic Field ◽  
Physical Parameters ◽  
Parametric Continuation

The present work explores the behavior of three-dimensional incompressible viscous fluid flow and heat transfer over the surface of a non-flat stretchable rotating disk. A variable thickness fluid is subjected under the influence of an external variable magnetic field and heat transfer. Navier–Stokes equation is coupled with Maxwell equations to examine the hydrothermal properties of fluid. The basic governing equations of motion are diminished to a system of nonlinear ordinary differential equations using appropriate similarity framework, which are further treated with numerical scheme known as parametric continuation method. The parametric continuation method has combined interesting characteristics of both shooting and implicit finite difference methods. For validity of the present numerical scheme, a comparison with the published work is performed and it is found that the results are in excellent agreement with each other. Numerical and graphical results for the velocity, temperature, and magnetic strength profiles as well as skin fractions and Nusselt number are presented and discussed in detail for various physical parameters. The heat transfer process is reduced with positive increment of no-flatness parameter [Formula: see text], while Prandtl number increases the heat transfer rate at the surface of the disk.

Flow and Heat Transfer of Nanofluids near a Rotating Disk

2013 ◽  
Vol 664 ◽  
pp. 859-865
Author(s):  
I Chung Liu ◽  
Hung Hsun Wang ◽  
Chia Nan Liu
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Volume Fraction ◽  
Rotating Disk ◽  
Thermal Boundary Layer Thickness ◽  
Flow And Heat Transfer ◽  
Rotating Surface ◽  
Layer Flow ◽  
Surface Increase ◽  
Momentum Boundary Layer

The study of boundary layer flow and heat transfer near a rotating disk with nanofluids is investigated numerically. Three types of nanoparticles, namely, silver Ag, copper Cu and alumina Al2O3with water as the base fluid are considered. The results show that the momentum boundary layer thicknesses shortens as the nanoparticle volume fraction increases, whereas thermal boundary layer thickness elongates for increasing ϕ. It is found that the reduced skin-friction coefficients and heat transfer rateat the rotating surface increase linearly with nanoparticle volume fractionϕ. The surface heat transfer rate for Cu-water nanofluid is higher than those of the otherswhen ϕ>0.02, even though the nanoparticle Ag has higher thermal conductivity than that of copper Cu.

scholarly journals BOUNDARY LAYER FLOW AND HEAT TRANSFER WITH VARIABLE VISCOSITY IN THE PRESENCE OF MAGNETIC FIELD

2016 ◽  
Vol 12 (7) ◽  
pp. 6412-6421
Author(s):  
Ajala O.A ◽  
Aseelebe L. O ◽  
Ogunwobi Z. O
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Layer Flow ◽  
Variable Viscosity ◽  
Physical Parameters ◽  
Flow And Heat Transfer ◽  
Dimensional Boundary ◽  
Layer Flow

A steady two dimensional boundary layer flow and heat transfer with variable viscosity electrically conducting fluid at T in the presence of magnetic fields and thermal radiation was considered. The governing equations which are partial differential equations were transformed into ordinary differential equations using similarity variables, and the resulting coupled ordinary differential equations were solved using collocation method in MAPLE 18. The velocity and temperature profiles were studied graphically for different physical parameters. The effects of the parameters on velocity and temperature profile were showed.

scholarly journals Convective Hydromagentic Slip Flow with Variable Properties Due to a Porous Rotating Disk

2010 ◽  
Vol 15 ◽  
pp. 55 ◽  
Author(s):  
Mohammad M. Rahman
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Slip Flow ◽  
Rotating Disk ◽  
Heat Transfer Characteristics ◽  
Temperature Dependent ◽  
Transfer Characteristics ◽  
Similarity Transformations ◽  
Flow And Heat Transfer ◽  
Highly Nonlinear

In this paper we investigate convective heat transfer characteristics of steady hydromagnetic slip flow over a porous rotating disk taken into account the temperature dependent density, viscosity and thermal conductivity  in the presence of  Hall current, viscous dissipation and Joule heating. Using von-Karman similarity transformations we reduce the governing equations for flow and heat transfer into a system of ordinary differential equations which are highly nonlinear and coupled. The resulting nondimensional equations are solved numerically by applying Nachtsheim-Swigert iteration technique. The results show that when modeling a thermal boundary layer, with temperature dependent fluid properties, consideration of Prandtl number as constant within the boundary layer, produces unrealistic results.   therefore  Therefore it must be treated as variable throughout the boundary layer. Results also show that the slip factor significantly controls the flow and heat transfer characteristics.  

A Note on the Induced Flow and Heat Transfer Due to a Deforming Cone Rotating in a Quiescent Fluid

2018 ◽  
Vol 140 (12) ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Boundary Layer ◽  
Layer Structure ◽  
Rotating Disk ◽  
Relevant Information ◽  
Point Of View ◽  
Physical Parameters ◽  
Rotating Disk Flow ◽  
Flow And Heat Transfer ◽  
Induced Flow ◽  
Layer Flow

This short brief is to address the boundary layer flow of motion due to a rotating as well as stretchable/shrinkable flexible cone in an otherwise still fluid. It is shown that the relevant information on the progress of the triggered boundary layer structure can be obtainable from the limiting traditional deformable rotating disk flow of von Karman, recently published in the literature. Thus, the physical parameters of great interest from the engineering point of view concerning a cone of a particular apex angle can be easily deduced as a multiplying factor corresponding to the deformable rotating disk flow.

scholarly journals Heat transfer enhancement in rotating disk boundary layer

2018 ◽  
Vol 22 (6 Part A) ◽  
pp. 2467-2482
Author(s):  
Ahmer Mehmood ◽  
Muhammad Usman
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Heat Transfer Enhancement ◽  
Rotating Disk ◽  
Heat Transfer Process ◽  
Working Fluid ◽  
Bench Mark ◽  
Physical Parameters ◽  
Transfer Enhancement ◽  
Severe Condition

A generally admitted fact about the nanofluids is the expedition of heat transfer process in comparison to pure fluids. The calculation of enhanced rate of heat transfer depends strongly upon the nanofluid modeling. Following the experimental evidence most of the researchers assume the nanofluid to be a homogeneous mixture. However, this is a severe condition that results in under-prediction of heat transfer rates. Due to the ongoing convection phenomena the nanoparticle concentration is actually non-homogeneous within the boundary-layer because of the presence of concentration gradients. The objective of this study is to calculate the heat transfer enhancement in 3-D boundary-layer when the working fluid is a nanofluid. The rotating disk geometry, which perhaps serves as the bench mark for the 3-D boundary-layers, have been chosen for the purpose here. The non-homogeneous nanofluid modeling has been utilized and a percent increase in Nusselt number has been calculated. Detailed analyses of flow and heat transfer phenomena for nanofluids have been conducted under the influence of several physical parameters.

scholarly journals Boundary Layer Flow of Second Grade Fluid in a Cylinder with Heat Transfer

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
S. Nadeem ◽  
Abdul Rehman ◽  
Changhoon Lee ◽  
Jinho Lee
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Layer Flow ◽  
Second Grade ◽  
Physical Parameters ◽  
Flow And Heat Transfer ◽  
Nonlinear Coupled System ◽  
Layer Flow

An analysis is carried out to obtain the similarity solution of the steady boundary layer flow and heat transfer of a second grade through a horizontal cylinder. The governing partial differential equations along with the boundary conditions are reduced to dimensionless form by using the boundary layer approximation and applying suitable similarity transformation. The resulting nonlinear coupled system of ordinary differential equations subject to the appropriate boundary conditions is solved by homotopy analysis method (HAM). The effects of the physical parameters on the flow and heat transfer characteristics of the model are presented. The behavior of skin friction coefficient and Nusselt numbers is studied for different parameters.

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.

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