Flow of Newtonian fluid in non-uniform tubes with variable wall permeability with application to flow in renal tubules

1991 ◽  
Vol 88 (1-2) ◽  
pp. 11-26 ◽  
Author(s):  
P. Chaturani ◽  
T. R. Ranganatha
Keyword(s):  
Newtonian Fluid ◽  
Renal Tubules ◽  
Wall Permeability ◽  
Variable Wall

Fluid Flow and Solute Transfer in a Tube with Variable Wall Permeability

2019 ◽  
Vol 74 (12) ◽  
pp. 1057-1067
Author(s):  
M. Varunkumar ◽  
P. Muthu
Keyword(s):  
Fluid Flow ◽  
Solute Concentration ◽  
Solute Transfer ◽  
Variable Permeability ◽  
Flow Parameters ◽  
Permeability Parameter ◽  
Uniform Cross Section ◽  
Wall Permeability ◽  
Variable Wall ◽  
Solute Clearance

AbstractWe considered a steady flow of viscous incompressible fluid and solute transfer in an axisymmetric tube of uniform cross section with variable wall permeability, which is relevant to the study of movement of solute across the glomerular capillaries. The solutions for the nonlinear governing equations of the fluid flow and solute transfer are obtained by analytical/numerical methods. The combined effect of variable wall permeability and flow parameters on the hydrostatic pressure, osmotic pressure, velocity profiles, concentration profiles, and the total solute clearance are investigated and are presented in this paper. It is found that an increase in the variable permeability parameter increases the solute concentration at the wall.

scholarly journals Variable Wall Permeability Effects on Flow and Heat Transfer in a Leaky Channel Containing Water-Based Nanoparticles

Processes ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 427
Author(s):  
Aamir Shahzad ◽  
Wael Al-Kouz ◽  
Waqar A. Khan
Keyword(s):  
Heat Transfer ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Stream Function ◽  
Volume Fraction ◽  
Flow And Heat Transfer ◽  
Water Based ◽  
Wall Permeability ◽  
Wall Shear ◽  
Variable Wall

This work presents the effects of variable wall permeability on two-dimensional flow and heat transfer in a leaky narrow channel containing water-based nanoparticles. The nanofluid is absorbed through the walls with an exponential rate. This situation arises in reverse osmosis, ultrafiltration, and transpiration cooling in industry. The mathematical model is developed by using the continuity, momentum, and energy equations. Using stream function, the transport equations are reduced and solved by using regular perturbation method. The expressions for stream function and temperature distribution are established, which helps in finding the components of velocity, wall shear stress, and heat transfer rate inside the channel. The results show that velocity components, temperature, wall shear stress, and rate of heat transfer are minimum at the entrance region due to the reabsorption of fluid containing nanoparticles. Additionally, with increasing volume fraction of nanoparticles, the rate of heat transfer enhances at all positions inside the channel. Titanium dioxide (TiO 2 ) nanoparticles show higher wall shear stress compared to copper and alumina. The streamlines confirms that all the fluid is reabsorbed before reaching the exit region of the channel for high reabsorption.

An Optimal Homotopy Asymptotic Method Solution of Injection of a Newtonian Fluid Through One Side of a Long Vertical Channel

2011 ◽  
Vol 42 (3) ◽  
pp. 267-283
Author(s):  
Rehan Ali Shah ◽  
Saeed Islam ◽  
A. M. Siddiqui ◽  
Ishtiaq Ali ◽  
Manzoor Ellahi
Keyword(s):  
Newtonian Fluid ◽  
Asymptotic Method ◽  
Vertical Channel ◽  
Optimal Homotopy Asymptotic Method

NUMERICAL MODELING OF NON-NEWTONIAN FLUID FLOW BETWEEN POROUS DISKS IN THE PRESENCE OF NANOPARTICLES

2017 ◽  
Vol 8 (1) ◽  
pp. 67-83
Author(s):  
M. Zubair Akbar Qureshi ◽  
Kashif Ali ◽  
Muhammad Farooq Iqbal ◽  
Muhammad Ashraf
Keyword(s):  
Numerical Modeling ◽  
Fluid Flow ◽  
Newtonian Fluid

NUMERICAL ANALYSIS OF NEWTONIAN FLUID FLOW VARYING THE CONTRACTION GEOMETRY USING OPENFOAM

2019 ◽  
Author(s):  
João Pedro Costa Eliziário ◽  
andrevidy honório ◽  
Marcos Lourenço ◽  
Elie Luis Martínez Padilla
Keyword(s):  
Fluid Flow ◽  
Numerical Analysis ◽  
Newtonian Fluid
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