scholarly journals Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method

2017 ◽  
Vol 3 (6) ◽  
pp. 54 ◽  
Author(s):  
Gbeminiyi M. Sobamowo
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Collocation Method ◽  
Flow Analysis ◽  
Spectral Collocation Method ◽  
Squeezing Flow ◽  
Slip Boundary Conditions ◽  
Spectral Collocation ◽  
Slip Boundary

Pipe flow of magneto-micropolar fluids with slip

2017 ◽  
Vol 95 (10) ◽  
pp. 885-893 ◽  
Author(s):  
H.H. Sherief ◽  
M.S. Faltas ◽  
S. El-Sapa
Keyword(s):  
Magnetic Field ◽  
Circular Cylinder ◽  
Boundary Conditions ◽  
Pipe Flow ◽  
Constant Magnetic Field ◽  
Slip Boundary Conditions ◽  
Micropolar Fluids ◽  
Slip Boundary ◽  
Unidirectional Flow ◽  
Physical Quantities

The steady unidirectional flow of an isothermal, incompressible, magneto-micropolar hydrodynamic fluid in an infinitely magnetic insulating circular cylinder is considered. The fluid is under a constant magnetic field perpendicular to the axis of the cylinder. The slip boundary conditions for velocity and microrotation are applied. Closed forms for the velocity, microrotation, and magnetic field are obtained for Poiseuille and Couette flows. Expressions for the rate of flow and skin coefficients are calculated. Variations of the physical quantities with respect to micropolarity parameter, slip parameters, and Hartman number are studied and their variations are illustrated graphically. Similar results are obtained for electro- micropolar fluids.

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

2019 ◽  
Vol 15 (2) ◽  
pp. 492-507 ◽  
Author(s):  
K. Ramesh ◽  
Sartaj Ahmad Eytoo
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Porous Medium ◽  
Boundary Conditions ◽  
Closed Form ◽  
Parallel Plates ◽  
Slip Boundary Conditions ◽  
Content Type ◽  
Closed Form Solutions ◽  
Slip Boundary

Purpose The purpose of this paper is to investigate the three fundamental flows (namely, both the plates moving in opposite directions, the lower plate is moving and other is at rest, and both the plates moving in the direction of flow) of the Ree-Eyring fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the intention of the study is to examine the effect of different physical parameters on the fluid flow. Design/methodology/approach The mathematical modeling is performed on the basis of law of conservation of mass, momentum and energy equation. The modeling of the present problem is considered in Cartesian coordinate system. The governing equations are non-dimensionalized using appropriate dimensionless quantities in all the mentioned cases. The closed-form solutions are presented for the velocity and temperature profiles. Findings The graphical results are presented for the velocity and temperature distributions with the pertinent parameters of interest. It is observed from the present results that the velocity is a decreasing function of Hartmann number. Temperature increases with the increase of Ree-Eyring fluid parameter, radiation parameter and temperature slip parameter. Originality/value First time in the literature, the authors obtained closed-form solutions for the fundamental flows of Ree-Erying fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the results of this paper are new and original.

scholarly journals MHD POISEUILLE FLOW WITH SORET AND DUFOUR EFFECTS UNDER SLIP BOUNDARY CONDITIONS

2021 ◽  
Vol 51 (3) ◽  
pp. 159-163
Author(s):  
Utpal Jyoti Das
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Constant Velocity ◽  
Magnetic Field Intensity ◽  
Mhd Flow ◽  
Slip Boundary Conditions ◽  
Induced Magnetic Field ◽  
Soret And Dufour Effects ◽  
Slip Boundary ◽  
Flow Parameters

A steady MHD flow is analyzed in presence of Soret and Dufour effects with consideration of induced magnetic field under slip boundary conditions. The walls of the channel are porous, isothermal and subjected to injection/suction at a constant velocity. The effects of various flow parameters on velocity, magnetic field intensity, temperature, concentration, skin friction, Nusselt number and Sherwood number are discussed. 

Nonlocal vibration and instability analysis of embedded DWCNT conveying fluid under magnetic field with slip conditions consideration

2014 ◽  
Vol 229 (2) ◽  
pp. 349-363 ◽  
Author(s):  
A Ghorbanpour Arani ◽  
E Haghparast ◽  
Z Khoddami Maraghi ◽  
S Amir
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Differential Quadrature Method ◽  
Equations Of Motion ◽  
Nonlocal Elasticity Theory ◽  
Small Scale ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Mechanical Devices ◽  
Conveying Fluid

In this study, vibration of double-walled carbon nanotubes (DWCNTs) conveying fluid placed in uniform magnetic field is carried out based on nonlocal elasticity theory. DWCNT is embedded in Pasternak foundation and is simulated as a Timoshenko beam (TB) model which includes rotary inertia and transverse shear deformation in the formulation. Considering slip boundary conditions and van der Waals (vdW) forces between inner and the outer nanotubes, the governing equations of motion are discretized and differential quadrature method (DQM) is applied to obtain the frequency of DWCNTs for clamped–clamped boundary condition. The detailed parametric study is conducted, focusing on the remarkable effects of small scale, Knudsen number, elastic medium, magnetic field, density, and velocity of conveying fluid on the stability of DWCNT. Results indicate that considering slip boundary conditions has significant effect on stability of DWCNTs. Also, it is found that trend of figures have good agreement with the previous researches. Results of this investigation could be applied for optimum design of nano/micro mechanical devices for controlling stability of DWCNTs conveying fluid under magnetic fields.

The Overlapping Grid Spectral Collocation Method for Solving Entropy Generation in Casson Nanofluid Flow Past a Stretching Plate

2021 ◽  
Vol 10 (1) ◽  
pp. 45-57
Author(s):  
Zack M. Mburu ◽  
Sabyasachi Mondal ◽  
Precious Sibanda ◽  
Ram Prakash Sharma
Keyword(s):  
Magnetic Field ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Collocation Method ◽  
Entropy Generation ◽  
Applied Magnetic Field ◽  
Spectral Collocation Method ◽  
Generation Rate ◽  
Entropy Generation Rate ◽  
Spectral Collocation

The current study investigates the intrinsic irreversibility phenomenon of a mixed convection and electrically conducting couple stress Casson fluid motion over a thermally stretching sheet. We have considered the combined effect of applied magnetic field, Brownian motion, thermal radiation, permeability, Casson parameter, and the stretching parameter on the entropy generation rate of the model. The first and second laws of thermodynamics have been applied to examine the flow problem. The obtained dimensionless structure of highly nonlinear ordinary differential equations is then solved numerically applying the overlapping grid spectral collocation method. This method has high accuracy and converges fast. The approximate solutions for velocity, temperature and concentration are used to evaluate the rate of entropy generation and some physical parameters of the flow. For engineering interest, we have obtained tabular results for the skin friction coefficient, Nusselt number, and the Sherwood number for pertinent parameters. We found that entropy generation rate is minimized when there is an increase in the applied magnetic field, thermophoresis parameter, Casson parameter, Brownian motion, and the energy variance parameter. Further, the entropy generation rate is increased by enhancing the stretching parameter, permeability parameter, the Biot number, and thermal radiation parameter.

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