Consequences of Darcy–Forchheimer and Cattaneo– Christov on a radiative three-dimensional Maxwell fluid flow over a vertical surface

2021 ◽  
Vol 118 ◽  
pp. 1-11
Author(s):  
Muhammad Naveed Khan ◽  
Sohail Nadeem
Keyword(s):  
Fluid Flow ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Vertical Surface

Three-dimensional biomagnetic Maxwell fluid flow over a stretching surface in presence of heat source/sink

2019 ◽  
Vol 12 (03) ◽  
pp. 1950036 ◽  
Author(s):  
M. G. Murtaza ◽  
M. Ferdows ◽  
J. C. Misra ◽  
E. E. Tzirtzilakis
Keyword(s):  
Fluid Flow ◽  
Differential Equations ◽  
Numerical Method ◽  
Heat Generation ◽  
Velocity Component ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Deborah Number ◽  
Numerical Results

The present paper deals with the study of three-dimensional boundary layer flow of biomagnetic Maxwell fluid over a plane horizontal surface stretched linearly along two mutually perpendicular directions. Basic principles of magnetohydrodynamics (MHD) and ferro-hydrodynamics (FHD) have been employed. The effect of heat generation/absorption has been taken into consideration. The study is theoretical and is conducted by using a combination of approximate and numerical techniques. By using the method of similarity transformation, the governing nonlinear partial differential equations are converted into a set of coupled ordinary differential equations. In the sequel, a suitable numerical method has been developed to solve the coupled differential equations. The accuracy of the numerical method has been checked by comparing the numerical results with those of an earlier study reported in available literatures. Effects of various parameters involved in the study, viz. the magnetohydrodynamic and ferromagnetic parameters, Deborah number, stretching ratio and heat generation on the fluid flow profiles are investigated and the results have been presented graphically. Variations of the skin friction, heat transfer rate and relative wall pressure with change in hydrodynamic and ferromagnetic parameters have also been illustrated. It is found that due to the influence of the Kelvin force, the velocity component in [Formula: see text]-direction is greater than the corresponding one in the hydrodynamic case, but the opposite is true for the velocity component in the [Formula: see text]-direction. We also found that the temperature of the fluid for hydrodynamic flow is greater than that for MHD or FHD flow. It is even greater for BFD flows. The numerical results of the study reveal that the characteristics of blood flow are significantly affected by the presence of a magnetic field.

Mixed Convection Three-Dimensional Flow in the Presence of Hall and Ion-Slip Effects

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
M. Nawaz ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Mixed Convection ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Vertical Surface ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Ion Slip ◽  
Derived Series

This work is accomplished to investigate the Hall and ion-slip effects on mixed convection three-dimensional flow of a Maxwell fluid over a stretching vertical surface. The problem is first formulated and then nondimensionalized by using suitable variables. The solutions are computed by homotopy analysis method (HAM). The results are compared with the already limiting results. The convergence of derived series solutions is studied. The velocity components and temperature have been examined for several important parameters. Numerical computations for Nusselt number are presented and analyzed.

scholarly journals Fast multipole solvers for three-dimensional radiation and fluid flow problems

1999 ◽  
Vol 7 ◽  
pp. 408-417 ◽  
Author(s):  
J. H. Strickland ◽  
L. A. Gritzo ◽  
R. S. Baty ◽  
G. F. Homicz ◽  
S. P. Burns
Keyword(s):  
Fluid Flow ◽  
Three Dimensional ◽  
Fast Multipole ◽  
Flow Problems

Laminar Fluid Flow Around Two Wall-Mounted Blocks of Different Size

2009 ◽  
Author(s):  
Mohammad Mehdi Tavakol ◽  
Mohammad Eslami
Keyword(s):  
Fluid Flow ◽  
Free Stream ◽  
Three Dimensional ◽  
Simple Algorithm ◽  
Bluff Bodies ◽  
Wake Region ◽  
Science And Engineering ◽  
Vortical Structures ◽  
Laminar Fluid Flow ◽  
Pressure Distributions

Fluid flow around single or multiple bluff bodies mounted on a surface has great significance in science and engineering. Understanding the characteristics of different vortices formed around wall-mounted bodies is quite necessary for different applications. Although the case of a single surface mounted cube has been studied extensively, only little attention has been paid to the flow around two or more rectangular blocks in array. Therefore, a CFD code is developed to calculate three dimensional steady state laminar fluid flow around two cuboids of arbitrary size and configuration mounted on a surface in free stream conditions. The employed numerical scheme is finite volume and SIMPLE algorithm is used to treat pressure and velocity coupling. Results are presented for two rectangular blocks of the different size mounted on a surface in various inline arrangements. Streamlines are plotted for blocks of different size ratio. Velocity and pressure distributions are also plotted in the wake region behind the obstacles. It is shown that how the behavior of flow field and vortical structures depend on the respective size and location of the larger block in comparison with the case of two inline wall mounted cubes of the same size.

Validation of the Stress Predictions in Rolling EHL Contacts Having In-Line Roughness Using the Inverse Method

2006 ◽  
Vol 128 (4) ◽  
pp. 745-752 ◽  
Author(s):  
C. J. Hooke ◽  
K. Y. Li
Keyword(s):  
Fluid Flow ◽  
Inverse Method ◽  
Rough Surfaces ◽  
Three Dimensional ◽  
Plane Flow ◽  
Preliminary Results ◽  
Rolling Contacts ◽  
Out Of Plane ◽  
Transverse Roughness

Using modern EHL programs it is relatively simple to determine the pressures and clearances in rough EHL contacts. The pressures may then be used to calculate the subsurface stresses in the two contacting components. However, the results depend on the assumptions made about the fluid’s rheology. While it is possible to measure the clearances using interferometric techniques, measurement of either the pressures or stresses is extremely difficult. However it is these, rather than the clearances, that determine the life of the contact. In previous papers the authors have described how the inverse method may be used to validate the stress predictions for contacts with transverse roughness. This type of contact has fluid flow in only one plane and it remained necessary to check the results for more general rough surfaces where the flow is three-dimensional. Accordingly, the inverse method is extended, in this paper, to a situation where out-of-plane flow is significant. The paper describes the approach and presents some preliminary results for rolling contacts.

Internal heat generation/or absorption phenomena in three-dimensional natural convection flow within enclosure filled with different working fluids

2018 ◽  
Vol 28 (4) ◽  
pp. 878-908
Author(s):  
Najib Hdhiri ◽  
Brahim Ben Beya
Keyword(s):  
Fluid Flow ◽  
Heat Generation ◽  
Average Nusselt Number ◽  
Thermal Field ◽  
Three Dimensional ◽  
Grashof Number ◽  
Content Type ◽  
Wide Range ◽  
Heat Generation Or Absorption ◽  
2D Model

Purpose The purpose of this study is to investigate the effects of heat generation or absorption on heat transfer and fluid flow within two- and three-dimensional enclosure for homogeneous medium filled with different metal liquid. Numerical results are presented and analyzed in terms of fluid flow, thermal field structures, as well as average Nusselt number profiles over a wide range of dimensionless quantities, Grashof number (Gr) (104 and 105), SQ (varied between −500 to 500) and Prandtl number (Pr = 0.015, 0.024 and 0.0321). The results indicate that when the conductive regime is established for a Grashof number Gr = 104, the 2D model is valid and predicts all three-dimensional results with negligible difference. This was not the case in the convective regime (Gr = 105) where the effect of the third direction becomes important, where a 2D-3D difference was seen with about 37 per cent. Also, in most cases, the authors find that the heat absorption phenomena have the opposite effect with respect to the heat generation. Design/methodology/approach Numerical results are presented and analyzed in terms of fluid flow, thermal field structures, as well as average Nusselt number profiles over a wide range of dimensionless quantities. Findings Grashof number (Gr) (104 and 105), SQ (varied between −500 to 500) and Prandtl number (Pr = 0.015, 0.024 and 0.0321). Originality/value The results indicate that when the conductive regime is established for a Grashof number Gr = 104, the 2D model is valid and predicts all three-dimensional results with negligible difference.

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