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.

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 Convection in directionally solidifying alloys under inclined rotation

2000 ◽  
Vol 412 ◽  
pp. 93-123 ◽  
Author(s):  
C. A. CHUNG ◽  
FALIN CHEN
Keyword(s):  
Boundary Layer ◽  
Inclination Angle ◽  
Boundary Layer Flow ◽  
Fluid Layer ◽  
Longitudinal Mode ◽  
Point Of View ◽  
Induced Flow ◽  
Layer Flow ◽  
Parallel Shear Flow ◽  
Induced Velocity

In an experiment on binary alloys directionally solidifying from below, Sample & Hellawell (1984) showed that the plume convection can be successfully prohibited by rotating the cooling tank around an inclined axis. In the present paper we interpret their experimental observation by an analytical approach. Results show that there is a flow induced by the inclination. The induced flow in the fluid layer is a parallel shear flow consisting of three parts: the thermal boundary-layer flow, the solute boundary- layer flow, and the Ekman-layer flow. In the mush, the induced flow is also a parallel flow but of much smaller velocity, consisting of two flows of opposite directions. The induced velocity in the fluid layer increases with inclination angle and decreases with the effective Taylor number Te. The induced velocity in the mush also increases with inclination angle but remains virtually the same on varying the speed of rotation. The linear stability analysis of the mushy layer shows that, due mostly to the reduction of buoyancy, the mush becomes more stable as the inclination angle increases. In the precession-only case, the most-unstable mode of instability is the longitudinal mode, which propagates in a direction perpendicular to the induced flow. In the spin (with or without precession) case, the instability modes propagating in different directions are of equal stability. Because the induced flow changes direction with a frequency equal to the spin angular velocity, the flow scans over all the directions of the system and stabilizes equally the modes in different directions. We conclude on the basis of the present results and from the practical point of view that spin-only rotation is more effective than the precession-only rotation in stabilizing the convection during solidification.

MHD flow and heat transfer analysis of Newtonian and non-Newtonian nanofluids due to an inclined stretching surface

2019 ◽  
Vol 16 (1) ◽  
pp. 134-155
Author(s):  
Mahantesh M. Nandeppanavar ◽  
T. Srinivasulu ◽  
Shanker Bandari
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Flow Heat ◽  
Layer Flow

Purpose The purpose of this paper is to study the flow, heat and mass transfer of MHD Casson nanofluid due to an inclined stretching sheet using similarity transformation, the governing PDE’S equations of flow, heat and mass transfer are converted into ODE’S. The resulting non-linear ODE’S are solved numerically using an implicit finite difference method, which is known as Kellor-box method. The effects of various governing parameters on velocity, temperature and concentration are plotted for both Newtonian and non-Newtonian cases. The numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters. It is noticed that the effect of angle of inclination enhances the temperature and concentration profile whereas velocity decreases. The temperature decreases due to the increase in the parametric values of Pr and Gr due to thickening in the boundary layer. Design/methodology/approach Numerical method is applied to find the results. Findings Flow and heat transfer analysis w.r.t various flow and temperature are analyzed for different values of the physical parameters. Research limitations/implications The numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters. Practical implications The study of the boundary layer flow, heat and mass transfer is important due to its applications in industries and many manufacturing processes such as aerodynamic extrusion of plastic sheets and cooling of metallic sheets in a cooling bath. Originality/value Here in this paper the authors have investigated the MHD boundary layer flow of a Casson nanofluid over an inclined stretching sheet along with the Newtonian nanofluid as a limited.

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 Numerical Analysis of Boundary Layer Flow and Heat Transfer over a Stretching and Non-Stretching Bullet-Shaped Object

2021 ◽  
Vol 8 (4) ◽  
pp. 273-308
Author(s):  
Mohammed Ali ◽  
Md. Abdul Alim
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Numerical Analysis ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Layer Structure ◽  
Ambient Condition ◽  
Linear Ordinary Differential Equations ◽  
Flow And Heat Transfer ◽  
Layer Flow

The two-dimensional axisymmetric magnetohydrodynamic boundary layer flow with heat transfer of Newtonian fluid over a stretching and non-stretching bullet-shaped object has been investigated. Therefore, fluid flow and heat transfer have been investigated in two types of flow geometries such as the thicker surface and the thinner surface of the bullet-shaped object. The present analysis also focuses on the physical relevance and accurate trends of the boundary layer profiles which are adequate in the laminar boundary layer flow. The novelty of this current work is to discuss the effect of shape and size (surface thickness parameter s) and the stretching factor of the bullet-shaped object on the fluid velocity and temperature profiles within the boundary layer region also develop the relationship between the dependent and independent parameters by the correlation coefficient. The partial differential equations of momentum and energy have been reduced to a system of non-linear ordinary differential equations along with the transformed boundary conditions by applying the local similarity transformations. These coupled non‐linear ordinary differential equations’ governing the flow field has been solved by the Spectral Quasi-Linearization Method (SQLM). The numerical analysis of the SQLM has been carried out with MATLAB for investigating the effect of various controlling parameters on the flow fields. The residual error infinity norms have been analyzed to determine the speed of convergence and accuracy of the method. The numerical results have been displayed graphically and in tabular form and the physical behavior of the problem also discussed. The investigation shows that in the case of a thicker bullet-shaped object the velocity profile does not approach the ambient condition asymptotically but intersects the axis with a steep angle and the boundary layer structure has no definite shape whereas in the case of a thinner bullet-shaped object the velocity profile converge the ambient condition asymptotically and the boundary layer structure has a definite shape. It is also noticed that thinner bullet-shaped object acts as good cooling conductor compared to thicker bullet-shaped object and the wall friction can be reduced much when thinner bullet-shaped object is used rather than the thicker bullet-shaped object in both types of non-stretching or stretching bullet-shaped object . Keywords: forced convection, correlation coefficient, multiple regression, MHD, stretching

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.

EXPERIMENTAL INVESTIGATION OF FLOW RESPONSE TO STATIONARY DISTURBANCE IN ROTATING-DISK FLOW

2019 ◽  
Vol XVI (2) ◽  
pp. 13-22
Author(s):  
Muhammad Ehtisham Siddiqui
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Three Dimensional ◽  
Rotating Disk ◽  
Careful Analysis ◽  
Laboratory Frame ◽  
Transition To Turbulence ◽  
Turbulent Regime ◽  
Mean Velocity ◽  
Layer Flow

Three-dimensional boundary-layer flow is well known for its abrupt and sharp transition from laminar to turbulent regime. The presented study is a first attempt to achieve the target of delaying the natural transition to turbulence. The behaviour of two different shaped and sized stationary disturbances (in the laboratory frame) on the rotating-disk boundary layer flow is investigated. These disturbances are placed at dimensionless radial location (Rf = 340) which lies within the convectively unstable zone over a rotating-disk. Mean velocity profiles were measured using constant-temperature hot-wire anemometry. By careful analysis of experimental data, the instability of these disturbance wakes and its estimated orientation within the boundary-layer were investigated.

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