MHD flow and temperature distribution of two immiscible fluids through a rotating horizontal channel

2021 ◽  
Author(s):  
Paramsetti Sri Ramachandra Murty ◽  
Gudala Balaji Prakash
Keyword(s):  
Temperature Distribution ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Horizontal Channel

scholarly journals Entropy Optimized Flow of Hybrid Nanomaterial over a Porous Stretchable Surface

2021 ◽  
Author(s):  
T. Hayat ◽  
Zobia Kainat ◽  
Sohail A. Khan ◽  
A. Alsaedi
Keyword(s):  
Temperature Distribution ◽  
Entropy Generation ◽  
Opposite Effect ◽  
Mhd Flow ◽  
Second Law Of Thermodynamics ◽  
Nonlinear Flow ◽  
Solution Technique ◽  
Hybrid Nanomaterial ◽  
Numerical Result ◽  
Aqueous Nanostructures

The aim of this articles is to investigate the entropy optimization in unsteady MHD flow Darcy-Forchheimer nanofluids towards a stretchable sheet. The surface we tend to think about is porous and stretchy under acceleration. Flow occurs due to the stretching of the surface. Four distinct types of aqueous nanostructures are taken in this examination where copper oxide ( ), copper ( ), titanium dioxide ( ) and aluminum oxide ( ) are the nanoparticles. Irreversibility analysis are discussed through second law of thermodynamics. The expression of energy is mathematically designed and discussed according to heat generation / absorption, dissipation, thermal radiation, and joule heating. The nonlinear PDE (partial differential conditions) is first changed to ODE (normal differential conditions) through appropriate similarity variables. Here we used the numerically embedded solution technique to develop a numerical result for the obtained nonlinear flow expression. Influence of various flow parameter velocity temperature distribution and entropy generation are discussed. Reduction occurs in velocity profile for larger porosity and magnetic parameters. An enhancement in entropy generation and temperature distribution is seen for Brinkman number. An opposite effect is noticed in velocity and temperature through solid volume friction.

scholarly journals Two-phase MHD Flow through Porous Medium with Heat Transfer in a Horizontal Channel

2020 ◽  
pp. 79-90
Author(s):  
Devendra Kumar ◽  
B. Satyanarayana ◽  
Rajesh Kumar ◽  
Bholey Singh ◽  
R. K. Shrivastava
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Temperature Distribution ◽  
Differential Equations ◽  
Velocity Profile ◽  
Parallel Plate ◽  
Immiscible Fluids ◽  
Immiscible Fluid ◽  
Flow Through ◽  
Plate Channel

The present study deals with two layered MHD immiscible fluid flow through porous medium in presence of heat transfer through parallel plate channel. The fluids are incompressible, and flow is fully developed. The fluids are of different viscosities and thermal conductivities so flowing without mixing each other. Two different phases are accounted for study and are electrically conducting. Temperature of the walls of parallel plate channel is constant. Rheological properties of the immiscible fluids are constant in nature. The flow is governed by coupled partial differential equations which are converted to ordinary differential equations and exact solutions are obtained. The velocity profile and temperature distribution are evaluated and solved numerically for different heights and viscosity ratios for the two immiscible fluids. The effect of magnetic field parameter M and porosity parameter K is discussed for velocity profile and temperature distribution. Combined effects of porous medium and magnetic fields are accelerating the flow which, can be helpful in draining oil from oil wells.

scholarly journals Numerical Study of Interface Tracking for the Unsteady Flow of Two Immiscible Micropolar and Newtonian Fluids Through a Horizontal Channel with an Unstable Interface

2021 ◽  
Vol 10 (4) ◽  
pp. 552-563
Author(s):  
Rajesh Kumar Chandrawat ◽  
Varun Joshi ◽  
O. Anwar Bég
Keyword(s):  
Shear Stress ◽  
Unsteady Flow ◽  
Pressure Gradient ◽  
Constant Pressure ◽  
Immiscible Fluids ◽  
Wave Number ◽  
Horizontal Channel ◽  
Surface Model ◽  
Fluid Interface ◽  
The Waves

The dynamics of the interaction between immiscible fluids is relevant to numerous complex flows in nature and industry, including lubrication and coating processes, oil extraction, physicochemical separation techniques, etc. One of the most essential components of immiscible flow is the fluid interface, which must be consistently monitored. In this article, the unsteady flow of two immiscible fluids i.e., an Eringen micropolar and Newtonian liquid is considered in a horizontal channel. Despite the no-slip and hyper-stick shear stress condition at the channel edge, it is accepted that the liquid interface is dynamic, migrating from one position to the next and possibly get absolute change; as a result, The CS (continuum surface) model is integrated with the single moment equation based on the VOF (volume of fluid) approach to trace the interface. The immiscible fluids are considered to flow under three applied pressure gradients (constant, decaying, and periodic) and flow is analyzed under seamless shear stress over the entire interface. The modified cubic b-spline differential quadrature method (MCB-DQM) is used to solve the modeled coupled partial differential equations for the fluid interface evolution. The advection and tracking of the interface with time, wave number, and amplitude are illustrated through graphs. It is observed that the presence of micropolar parameters affects the interface with time. The novelty of the current study is that previous studies (which considered the smooth and unstable movement of the micropolar fluid, the steady stream of two immiscible fluids, and interface monitoring through different modes) are extended and generalized to consider the time-dependent flow of two immiscible fluids namely Eringen micropolar and Newtonian with a moving interface in a horizontal channel. For the decaying pressure gradient case, which requires more time to achieve the steady-state, the peak of the waves resembles those for the constant pressure gradient case. The interface becomes steady for a more extensive time when a constant pressure gradient is applied. The interface becomes stable quickly with time as the micropolar parameter is decreased for the constant pressure gradient case i.e., weaker micropolar fluids encourage faster stabilization of the interface. With periodic pressure gradient, the interface takes more time to stabilize, and the crest of the waves is significantly higher in amplitude compared to the constant and decaying pressure cases. The simulations demonstrate the excellent ability of MCB-DQM to analyze complex interfacial immiscible flows.

Hydromagnetic Mixed Convective Two-Phase Flow of Couple Stress and Viscous Fluids in an Inclined Channel

2014 ◽  
Vol 69 (10-11) ◽  
pp. 553-561 ◽  
Author(s):  
Zaheer Abbas ◽  
Jafar Hasnain ◽  
Muhammad Sajid
Keyword(s):  
Viscous Fluid ◽  
Couple Stress ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Two Phase ◽  
Fully Developed Flow ◽  
Closed Form Solutions ◽  
Inclined Channel ◽  
Electrically Conducting ◽  
Flow And Heat Transfer

AbstractAn analysis is carried out to study magnetohydrodynamic (MHD) flow and heat transfer of two immiscible fluids in an inclined channel. The channel is filled with couple stress fluid in one region and a viscous fluid in the other region. The viscous fluid is assumed to be electrically conducting. The governing equations are modelled using the fully developed flow conditions. A closed form solutions of velocity and the temperature profiles are obtained by using perturbation method. The physical interpretation of the emerging parameters of interest on the velocity and temperature distributions are shown through graphs and discussed in detail.

scholarly journals Thermomechanical Fractional Model of Two Immiscible TEMHD

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
F. Hamza ◽  
A. M. Abd El-Latief ◽  
W. Khatan
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Mhd Flow ◽  
Immiscible Fluids ◽  
Fourier Series Expansion ◽  
Second Grade ◽  
Stress Distributions ◽  
Flow And Heat Transfer ◽  
The Laplace Transform ◽  
Second Grade Fluids

We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parametersαiand mechanical fractional parametersβi,i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values ofαiandβi. The graphs describe the fractional thermomechanical parameters effect on the case of two immiscible fluids and the case of a single fluid.

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