Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of the magnetic field

1997 ◽  
Vol 35 (5) ◽  
pp. 515-522 ◽  
Author(s):  
E.M.A. Elbashbeshy
2019 ◽  
Vol 11 (7) ◽  
pp. 168781401986038 ◽  
Author(s):  
Nehad Ali Shah ◽  
Ilyas Khan ◽  
Maryam Aleem ◽  
MA Imran

In this article, the influence of a magnetic field is studied on a generalized viscous fluid model with double convection, due to simultaneous effects of heat and mass transfer induced by temperature and concentration gradients. The fluid is considered over an exponentially accelerated vertical plate with time-dependent boundary conditions. Additional effects of heat generation and chemical reaction are also considered. A generalized viscous fluid model consists of three partial differential equations of momentum, heat, and mass transfer with corresponding initial and boundary condition. The idea of non-integer order Caputo time-fractional derivatives is used, and exact solutions for velocity, temperature, and concentration in terms of Wright function and function of Lorenzo–Hartley are developed for ordinary cases. Graphical analysis of flow and fractional parameters is made by using computational software MathCad, and discussed. The results obtained are also in good agreement with the published results from the literature. As a result, it is found that temperature and fluid velocity can be enhanced for smaller values of fractional parameters.


2020 ◽  
Vol 17 (11) ◽  
pp. 4819-4825
Author(s):  
Hanan S. Gafel

This paper discusses the effects of both magnetic fields and heat and mass transfer on the flows of a peristaltic nature with incompressible Newtonian fluid mechanics in a channel. The study was conducted under the assumption of a low Reynolds number and a long wavelength. The analytical solution was deduced from velocity and temperature. The outcomes for velocity and temperature, presented analytically, were evaluated in a numerical form and discussed briefly. Non-dimensional wave amplitude impact, the magnetic field, Grashof number, and the volume rate of flow in the waveform were analyzed theoretically and computed numerically. The expressions for velocity, pressure gradient, pressure rise, temperature, fractional force of the internal and outer channels, and shear stress were sketched for various embedded parameters; afterward, they were accordingly interpreted. Results of a numerical nature were given and illustrated graphically in every case. The results acquired in the presence and lack of magnetic field were compared against each other. The outcomes imply that the effects of the magnetic field and heat and mass transfer were evident in the phenomena. The effects of various involved criteria manifesting in the solutions were meticulously assayed.


2018 ◽  
Vol 1 (1) ◽  
pp. 30-34 ◽  
Author(s):  
Alexey Chernogor ◽  
Igor Blinkov ◽  
Alexey Volkhonskiy

The flow, energy distribution and concentrations profiles of Ti ions in cathodic arc are studied by test particle Monte Carlo simulations with considering the mass transfer through the macro-particles filters with inhomogeneous magnetic field. The loss of ions due to their deposition on filter walls was calculated as a function of electric current and number of turns in the coil. The magnetic field concentrator that arises in the bending region of the filters leads to increase the loss of the ions component of cathodic arc. The ions loss up to 80 % of their energy resulted by the paired elastic collisions which correspond to the experimental results. The ion fluxes arriving at the surface of the substrates during planetary rotating of them opposite the evaporators mounted to each other at an angle of 120° characterized by the wide range of mutual overlapping.


2011 ◽  
Vol 15 (3) ◽  
pp. 749-758 ◽  
Author(s):  
Faiza Salama

An analysis is carried out to study the effect of heat and mass transfer on a non-Newtonian-fluid between two infinite parallel walls, one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time-dependent wall suction is assumed to occur at permeable surface. The governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and are solved numerically by using the shooting technique with fourth order Runge-Kutta integration scheme. The effect of non-Newtonian parameter, magnetic pressure parameter, Schmidt number, Grashof number and modified Grashof number on velocity, temperature, concentration and the induced magnetic field are discussed. Numerical results are given and illustrated graphically for the considered Problem.


Sign in / Sign up

Export Citation Format

Share Document