scholarly journals On a Study of Flow Past Non-Newtonian Fluid Bubbles

2021 ◽  
Vol 16 ◽  
pp. 74-86
Author(s):  
T. S. L. Radhika ◽  
T. Raja Rani
Keyword(s):  
Fluid Flow ◽  
Coordinate System ◽  
Newtonian Fluid ◽  
Outer Region ◽  
Considerable Effect ◽  
Governing Equations ◽  
Spherical Coordinate ◽  
Flow Past ◽  
Flow Domain ◽  
High Viscous Fluid

In the current work, we aim at finding an analytical solution to the problem of fluid flow past a pair of separated non-Newtonian fluid bubbles. These bubbles are assumed to be spherical and non-permeable with the non-Newtonian fluid, viz. the couple stress fluid filling their interior. Further, the bubbles are presumed to be static in the flow domain, where a Newtonian fluid streams past these bubbles with a constant velocity (U) along the negative x-direction. We developed a mathematical model in the bipolar coordinate system for the fluid flow outside the bubbles and the spherical coordinate system inside the bubbles to derive a separable solution for their respective governing equations. Furthermore, to evaluate the model's applicabilities on the industrial front, the data on some widely used industrial fluids are given as inputs to the model, such as density, the viscosity of air or water for the fluid flow model developed for the region outside the fluid bubbles and the data on Cyclopentane or DIDP (non-Newtonian) for that within the bubbles. Some interesting findings are: the pressure in the outer region of the bubbles is higher when filled with low viscous industrial fluid, Cyclopentane, than a high viscous fluid, DIDP. Furthermore, an increase in the viscosity of Cyclopentane did not alter the pressure distribution in the region outside the bubbles. However, there is a considerable effect on this pressure in the case of DIDP bubbles.

scholarly journals Fluid Flow in Composite Regions Past a Solid Sphere

2021 ◽  
Vol 12 (4) ◽  
pp. 4755-4769
Keyword(s):  
Fluid Flow ◽  
Similarity Transformation ◽  
Solid Sphere ◽  
Transformation Method ◽  
Normal Velocity ◽  
Governing Equations ◽  
Spherical Coordinate ◽  
Brinkman Equations ◽  
Porous Region ◽  
Parabolic Velocity Profile

A steady, 2-D, incompressible, viscous fluid flow past a stationary solid sphere of radius 'a' has been considered. The flow of fluid occurs in 3 regions, namely fluid, porous and fluid regions. The governing equations for fluid flow in the clear and porous regions are Stokes and Brinkman equations, respectively. These governing equations are written in terms of stream function in the spherical coordinate system and solved using the similarity transformation method. The variation in flow patterns by means of streamlines has been analyzed for the obtained exact solution. The nature of the streamlines and the corresponding tangential and normal velocity profiles are observed graphically for the different values of porous parameter 'σ'. From the obtained results, it is noticed that an increase in porous parameters suppresses the fluid flow in the porous region due to less permeability; as a result, the fluid moves away from the solid sphere. It also decreases the velocity of the fluid in the porous region due to the suppression of the fluid as 'σ' increases. Hence the parabolic velocity profile is noticed near the solid sphere.

scholarly journals Temperature and concentration stratification effects on non-Newtonian fluid flow past a cylindrical surface

2017 ◽  
Vol 7 ◽  
pp. 3659-3667 ◽  
Author(s):  
Khalil Ur Rehman ◽  
Abid Ali Khan ◽  
M.Y. Malik ◽  
Iffat Zehra ◽  
Usman Ali
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Cylindrical Surface ◽  
Flow Past

A study on the newtonian fluid flow past a sphere in a tube

1988 ◽  
Vol 5 (2) ◽  
pp. 190-196 ◽  
Author(s):  
Jang Hoon Oh ◽  
Seung Jong Lee
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Flow Past ◽  
Flow Past A Sphere

Axisymmetric Stokes Flow Past Cones Including the Case of the Needle

1975 ◽  
Vol 42 (3) ◽  
pp. 569-574
Author(s):  
K. N. Ghia ◽  
A. G. Mikhail
Keyword(s):  
Coordinate System ◽  
Skin Friction ◽  
Stokes Flow ◽  
Small Neighborhood ◽  
Legendre Functions ◽  
Spherical Coordinate ◽  
Associated Legendre Functions ◽  
First Order ◽  
Flow Past ◽  
Limiting Case

The Stokes flow past sharp axisymmetric cones of acute semivertex angle has been studied using an axisymmetric spherical coordinate system. The Stokes solution consists of associated Legendre functions, of the first kind, of the first-order and fractional degree related to the eigenvalues of the problem. These Legendre functions as well as the lowest eigenvalues of the Stokes solution have been accurately evaluated using two different approaches. The present results for the eigenvalues appear to be more accurate than those obtained earlier by Schwiderski, Lugt and Ugincius [3]. An important limiting case with semivertex angle δ → 0, i.e., the needle has been correctly analyzed and the results show that, as δ → 0, the Stokes flow is valid in a vanishingly small neighborhood of the needle with the skin friction being infinite at the “surface” of the needle.

Effect of Joule heating on MHD non‐Newtonian fluid flow past an exponentially stretching curved surface

Heat Transfer ◽  
2020 ◽  
Vol 49 (6) ◽  
pp. 3575-3592 ◽  
Author(s):  
Anantha Kumar Kempannagari ◽  
Ramoorthy Reddy Buruju ◽  
Sandeep Naramgari ◽  
Sugunamma Vangala
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Joule Heating ◽  
Curved Surface ◽  
Flow Past ◽  
Exponentially Stretching

Impact of Angular Magnetic Field and Convective Boundary Condition on Heat Transfer of Newtonian Fluid Flow in a Channel

2021 ◽  
pp. 095440622110064
Author(s):  
Mostafa Hossein Saeidi ◽  
Ali Bagheri ◽  
Mehdi Ghamati ◽  
Mohsen Javanmard ◽  
Mohammad Hasan Taheri
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Fluid Flow ◽  
Heat Transfer Rate ◽  
Newtonian Fluid ◽  
Transfer Rate ◽  
Energy Equation ◽  
Dimensionless Temperature ◽  
Governing Equations ◽  
Convective Boundary

In this study, the heat transfer of a laminar, steady, fully developed, and Newtonian fluid flow in a channel is investigated. The main goal of the present study is solving the hydromagnetic Newtonian fluid flow and heat transfer inside a channel with the angular magnetic field and convective boundary conditions on the walls. As a novelty, the effect of thermal diffusion and advection term the walls and Joule heating in the energy equation has been considered. The governing equations include the continuity, momentum, and energy are presented, and considering the assumptions are simplified. Afterward, employing the dimensionless parameters, the governing equations are transformed into dimensionless forms. The exact solution is provided for the momentum equation. For solving the full energy equation, the analytical collocation method (CM) is conducted. The results are validated using the 4th order Runge-Kutta method. The results demonstrated that the dimensionless velocity, the bulk temperature inside the channel, and the channel wall's heat transfer rate decline when the Hartmann number and the magnetic field angle increase. Since the Prandtl and Eckert numbers reduce, the dimensionless temperature becomes more uniform, and the heat transfer rate on the channel wall decreases. Since the Biot number augments, the dimensionless temperature inside the channel reduces, but the channel wall's heat transfer rate first increases and then reduces.

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