Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method
Gbeminiyi M. Sobamowo,
Lawrence O. Jayesimi
Issue:
Volume 3, Issue 6, November 2017
Pages:
54-60
Received:
16 October 2017
Accepted:
20 November 2017
Published:
27 December 2017
Abstract: In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing flow in applications such as power transmission, polymer processing and hydraulic lifts.
Abstract: In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squee...
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A Study of the Simulation Experiments of Gravity Currents
Issue:
Volume 3, Issue 6, November 2017
Pages:
61-65
Received:
1 November 2017
Accepted:
12 December 2017
Published:
8 January 2018
Abstract: Gravity currents which are driven by body gravity forces, occur in the natural environment frequently, such as sea breezes, turbidity currents and avalanches, and sometimes cause natural and environmental disasters around the world. The cause of gravity currents is that the fluid of one density propagates into another fluid of a different density and the motion is largely in the horizontal direction. The objective of this study is to investigate the motion of density driven flows along a horizontal surface and within a stratified fluid, and measure their speeds by the simulation experiments of gravity currents. The speed of the gravity current is constant and able to be calculated with the speed formula. Meanwhile, compare the results with theory for gravity currents and intrusions, estimate theoretical constant parameter and research the behaviour of real fluids. In the experiment, the denser fluid dropped down to the bottom of the tank after the barrier was moved. Next, the fluid moved to the right side of the tank and kept the same shape travelling to the end of the tank. After reaching the end of the tank, the front of the fluid is mixed into the whole fluid. As an inference of this study, it is concluded that the low flow speeds the currents were not influenced by the friction by means of experimental data processing. According to the records of the motion of flows and the behaviour of fluids, the velocity was not constant with distance along the tank due to the human errors of records.
Abstract: Gravity currents which are driven by body gravity forces, occur in the natural environment frequently, such as sea breezes, turbidity currents and avalanches, and sometimes cause natural and environmental disasters around the world. The cause of gravity currents is that the fluid of one density propagates into another fluid of a different density a...
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