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Hartmann number
About: Hartmann number is a research topic. Over the lifetime, 2593 publications have been published within this topic receiving 61342 citations.
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TL;DR: In this paper, the effect of variable magnetic field on nanofluid flow and heat transfer analysis between two parallel disks is investigated by using the appropriate transformation for the velocity, temperature and concentration, the basic equations governing the flow, heat and mass transfer were reduced to a set of ordinary differential equations.
33 citations
TL;DR: In this paper, the authors applied the finite volume method to solve the volume fraction of iron oxide nanoparticles inside a triangular chamber with a hot wavy wall using the finite-volume method.
33 citations
TL;DR: In this paper, the authors investigated the partial slip effect on an unsteady two-dimensional mixed convection stagnation point flow towards a permeable shrinking sheet and found that the boundary layer thicknesses become thicker and thicker with increasing shrinking parameter, while the opposite effect is observed with increasing Hartmann number.
Abstract: The objective of the present study was to investigate the partial slip effect on an unsteady two-dimensional mixed convection stagnation point flow towards a permeable shrinking sheet. The governing equations are reduced to a system of non-dimensional partial differential equations using a semi-similarity transformation, before being solved numerically by using Keller-box method. The features of the flow characteristics for different values of the governing parameters are analysed and discussed. The results indicate that the momentum, thermal and concentration boundary layer thicknesses increase with increasing mixed convection parameter for opposing flow, whereas the opposite effect is observed for assisting flow. The results also show that the surface velocity is higher when there is slip at a sheet compared to its absent. Further, the study indicates that the boundary layer thicknesses become thicker and thicker with increasing shrinking parameter, while the opposite effect is observed with increasing Hartmann number. Comparison with previously published work for special cases is performed and found to be in excellent agreement.
33 citations
TL;DR: In this paper, the authors explored the radiative marangoni boundary layer flow on the existence of carbon nanotubes through a surface embedded is an electromagnetic actuator defined as a riga plate.
Abstract: The objective of this article is to explore the radiative marangoni boundary layer flow on the existence of carbon nanotubes through a surface embedded is an electromagnetic actuator defined as a riga plate. To judge the performance of Lorentz forces on the bases of nanoparticles temperature fluxes, two different types of carbon nanotubes, namely single wall carbon nanotube and multi wall carbon nanotubes saturated into water used as base fluid. With the introduction of some viable dimensionless variables into the system of nonlinear partial differential equations, the resulting nonlinear designed flow of marangoni boundary layer flow over riga plate is developed. The proposed schemes of governing equations are then converted into ordinary differential equations by similarity transformation. To sort out characteristics of thermal radiation and effect of Hartmann number through marangoni boundary layer flow of nanofluid, some suitable boundary conditions are utilized. The solution of indicated governing equations and for the convergence of control parameters, one of best analytical method is utilized. The velocity and temperature profiles of various parameters are deliberated in detail for numerical significance. Numerical survey of embedded parameters is then depicted on graphs and tables. Finally, some accomplished comments are also our part of consultation.
33 citations
TL;DR: In this paper, the peristaltic transport of a magnetohydrodynamic fluid at low Reynolds number in an asymmetric channel was studied and series solutions were obtained for stream function, velocity, pressure gradient, shear stress and pressure rise per wavelength.
Abstract: Of concern in the paper is a study on the peristaltic transport of a magnetohydrodynamic fluid at low Reynolds number in an asymmetric channel The study is motivated by the phenomenon of peristalsis that is prominent in the flow of some physiological fluids in the human body The viscosity of the fluid is considered dependent on temperature The associated problems of heat and mass transfer during the flow of the fluid are also taken into account The study has been carried out for long wavelength of the peristaltic motion By using perturbation technique, series solutions have been obtained for stream function, velocity, pressure gradient, shear stress and pressure rise per wavelength Pumping characteristics and the phenomenon of trapping are also adequately discussed In order to illustrate the validity of the theoretical study, numerical results have been computed for a specific situation by using MATHEMATICA software The study reveals that the volume of the trapped bolus diminishes with increase in Hartmann number, Reynolds number, fluid viscosity and Schmidt number but decreases with increasing phase difference It is seen that the results of the study conform very well to those of previous studies reported in available scientific literatures
33 citations