Transient flow of a Maxwell fluid on a rotating disk

1993 ◽  
Vol 74 (1) ◽  
pp. 40-44 ◽  
Author(s):  
C. F. Chan Man Fong ◽  
D. De Kee ◽  
B. Marcos
2008 ◽  
Vol 372 (10) ◽  
pp. 1639-1644 ◽  
Author(s):  
T. Hayat ◽  
C. Fetecau ◽  
M. Sajid

2016 ◽  
Vol 12 (2) ◽  
pp. 345-361 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Sidra Khan ◽  
Fatima Riaz

Purpose – The purpose of this paper is to study the three dimensional, steady and incompressible flow of non-Newtonian rate type Maxwell fluid, for stagnation point flow toward an off-centered rotating disk. Design/methodology/approach – The governing partial differential equations are transformed to a system of non-linear ordinary differential equations by conventional similarity transformations. The non-perturbation technique, homotopy analysis method (HAM) is employed for the computation of solutions. And, the solution is computed by using the well-known software Mathematica 10. Findings – The effects of rotational parameter and Deborah number on radial, azimuthal and induced velocity functions are investigated. The results are presented in graphical form. The convergence control parameter is also plotted for velocity profiles. The comparison with the previous results is also tabulated. The skin friction coefficients are also computed for different values of Deborah number. Originality/value – This paper studies the effect of rotation and Deborah number on off-centered rotating disk has been observed and presented graphically.


1968 ◽  
Vol 18 (1) ◽  
pp. 384-397 ◽  
Author(s):  
G. M. Homsy ◽  
J. L. Hudson
Keyword(s):  

1994 ◽  
Vol 116 (2) ◽  
pp. 265-272 ◽  
Author(s):  
S. Ushijima ◽  
N. Tanaka

A particle tracking velocimetry (PTV) system has been developed to obtain instantaneous two velocity components on several sections in three-dimensional space. The flow visualization is conducted by means of parallel laser-light sheets created by a scanning laser beam and the visualized particle images are taken by a highspeed video system synchronized with the scanning. In order to obtain higher accuracy in velocity measurements than usual PTV, some improvements are made on the analyzing procedures: the extraction of particle images, the determination of their center points, the derivation of velocity components and others. The present PTV was applied to the transient flows in a cylindrical tank with a rotating disk. As a result, two-dimensional transient flow patterns with large scale disturbances are continuously captured in three-dimensional space.


1994 ◽  
Vol 55 (2) ◽  
pp. 163-189 ◽  
Author(s):  
Abhay V. Borkar ◽  
John A. Tsamopoulos
Keyword(s):  

2020 ◽  
Vol 142 (11) ◽  
Author(s):  
Tianping Zhang ◽  
Sami Ullah Khan ◽  
Muhammad Imran ◽  
Iskander Tlili ◽  
Hassan Waqas ◽  
...  

Abstract Recent trends in advanced nanotechnology developed thermal consequences of nanoparticles due to increasing significance in various engineering and thermal extrusion systems. The current continuation analyzes the axisymmetric stagnation point flow of magnetized rate-type nanoparticles configured by a porous stretching/shrinking rotating disk in the presence of motile microorganisms. A famous rate-type polymeric liquid namely Maxwell fluid has been used to examine the rheological consequences. Constitutive expressions based on the Buongiorno nanofluid model are used to examine the thermophoresis and Brownian motion features. With imposing similarity variables proposed by von Karman, the formulated problem is composed into dimensionless form. With the implementation of famous numerical technique bvp4c, the solution of governing flow equations is simulated. Graphical significance for each physical parameter is interpolated with relevant physical aspects. The variation in local Nusselt number, local Sherwood number, and motile density number corresponding to engineering parameters is numerically iterated and expressed in a tabular form. The study revealed that radial direction velocity component decreases by increasing the Deborah number and buoyancy ratio parameter. An enhanced temperature distribution for both stretching and shrinking cases has been noted by increasing the Biot number and thermophoresis parameter. A lower motile microorganisms distributed is noted due to the involvement of motile diffusivity.


Micromachines ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 540
Author(s):  
Shuang-Shuang Zhou ◽  
Muhammad Bilal ◽  
Muhammad Altaf Khan ◽  
Taseer Muhammad

The fluid flow over a rotating disk is critically important due to its application in a broad spectrum of industries and engineering and scientific fields. In this article, the traditional swirling flow of Von Karman is optimized for Maxwell fluid over a porous spinning disc with a consistent suction/injection effect. Buongiorno’s model, which incorporates the effect of both thermophoresis and Brownian motion, describes the Maxwell nanofluid nature. The dimensionless system of ordinary differential equations (ODEs) has been diminished from the system of modeled equations through a proper transformation framework. Which is numerically computed with the bvp4c method and for validity purposes, the results are compared with the RK4 technique. The effect of mathematical abstractions on velocity, energy, concentration, and magnetic power is sketched and debated. It is perceived that the mass transmission significantly rises with the thermophoresis parameter, while the velocities in angular and radial directions are reducing with enlarging of the viscosity parameter. Further, the influences of thermal radiation Rd and Brownian motion parameters are particularly more valuable to enhance fluid temperature. The fluid velocity is reduced by the action of suction effects. The suction effect grips the fluid particles towards the pores of the disk, which causes the momentum boundary layer reduction.


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