Fluid Model and Analytical Solutions

1994 ◽  
pp. 148-169
Author(s):  
Benedikt Weber
Keyword(s):  
Analytical Solutions ◽  
Fluid Model

INFLATIONARY SCENARIO IN BRANS–DICKE THEORY FOR BIANCHI VI0 SPACE–TIME MODEL

2003 ◽  
Vol 12 (01) ◽  
pp. 129-143 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
ARABINDA GHOSH
Keyword(s):  
Equation Of State ◽  
Perfect Fluid ◽  
Analytical Solutions ◽  
Fluid Model ◽  
Space Time ◽  
Time Model ◽  
Exact Analytical Solutions ◽  
Exponential Expansion ◽  
Barotropic Equation ◽  
Space Time Model

We have investigated perfect fluid model in Brans–Dicke theory for Bianchi VI 0 space–time and have obtained exact analytical solutions considering barotropic equation of state. These solutions have been analyzed for different values of the parameters involved and some of them have shown a period of exponential expansion.

BRANS–DICKE THEORY IN BIANCHI III MODEL AND INFLATIONARY SCENARIO

2002 ◽  
Vol 11 (03) ◽  
pp. 391-404 ◽  
Author(s):  
NARAYAN CHANDRA CHAKRABORTY ◽  
SUBENOY CHAKRABORTY
Keyword(s):  
Equation Of State ◽  
Perfect Fluid ◽  
Analytical Solutions ◽  
Fluid Model ◽  
Space Time ◽  
Exact Analytical Solutions ◽  
Inflationary Scenario ◽  
Bianchi Iii ◽  
Barotropic Equation

Brans–Dicke theory with perfect fluid model has been considered in Bianchi III space–time and exact analytical solutions are presented with barotropic equation of state. These solutions have been analyzed and some of them have shown the properties of inflationary scenario.

Code Verification of Non-Newtonian Fluid Solvers for Single- and Two-Phase Laminar Flows

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Stefano Lovato ◽  
Serge L. Toxopeus ◽  
Just W. Settels ◽  
Geert H. Keetels ◽  
Guilherme Vaz
Keyword(s):  
Free Surface ◽  
Newtonian Fluid ◽  
Analytical Solutions ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Laminar Flows ◽  
Phase Flow ◽  
Code Verification ◽  
Two Phase ◽  
Flow Solver

Abstract The presence of complex fluids in nature and industrial applications combined with the rapid growth of computer power over the past decades has led to an increasing number of numerical studies of non-Newtonian flows. In most cases, non-Newtonian models can be implemented in existing Newtonian solvers by relatively simple modifications of the viscosity. However, due to the scarcity of analytical solutions for non-Newtonian fluid flows and the widespread use of regularization methods, performing rigorous code verification is a challenging task. The method of manufactured solutions (MMS) is a powerful tool to generate analytical solutions for code verification. In this article, we present and discuss the results of three verification exercises based on MMS: (i) steady single-phase flow; (ii) unsteady two-phase flow with a smooth interface; (iii) unsteady two-phase flow with a free surface. The first and second exercises showed that rigorous verification of non-Newtonian fluid solvers is possible both on single- and two-phase flows. The third exercise revealed that “spurious velocities” typical of free-surface calculations with the Volume-of-Fluid model lead to “spurious viscosities” in the non-Newtonian fluid. The procedure is illustrated herein on a second-order finite volume flow solver, using the regularized Herschel-Bulkley fluid model as an example. The same methodology is however applicable to any flow solver and to all the rheological models falling under the class of generalized Newtonian fluid models.

ENTROPY GENERATION IN BLOOD FLOW WITH HEAT AND MASS TRANSFER FOR THE ELLIS FLUID MODEL

2018 ◽  
Vol 49 (8) ◽  
pp. 747-760 ◽  
Author(s):  
Muhammad Mubashir Bhatti ◽  
M. Ali Abbas ◽  
M. M. Rashidi
Keyword(s):  
Mass Transfer ◽  
Blood Flow ◽  
Heat And Mass Transfer ◽  
Entropy Generation ◽  
Fluid Model
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