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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: A novel magnetohydrodynamics (MHD)-based pumping flow model is proposed to study the magnetic property in transient flow of viscous fluids through finite length channel where the upper channel wall is derived to describe the propagative membrane mode of rhythmic contractions.
Abstract: A novel magnetohydrodynamics (MHD)-based pumping flow model is proposed to study the magnetic property in transient flow of viscous fluids through finite length channel where the upper channel wall is derived to describe the propagative membrane mode of rhythmic contractions. The flow is generated by the pressure difference due to propagative membrane contraction. Inlet and outlet pumping flow mechanisms are applied during the compression and expansion phases. This model is developed based on low Reynolds number flow to considering the microscale transport phenomena in biomedical sciences. Closed-form solutions for velocity fields, pressure, volumetric flow rate, wall shear stress and stream functions are derived under the lubrication analysis. Salient features of the flow analysis and pumping performances are illustrated with the aid of graphical results under the effects of time variation, membrane shape parameter and Hartmann number. Contour plots for velocity fields, stream function and shear stress are prepared for better visualization and analysis. It is inferred that the pressure along the channel length is more with increasing the magnetic field property in both phases (expansion and compression) of membrane contractions. Maximum pressure difference occurs at the membrane contractions, which represents the pumping mechanism. This pumping model can be utilized to design the novel biomedical MHD micropumps for wide-ranging biomedical applications.

22 citations

Journal ArticleDOI
TL;DR: In this article, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using two powerful analytical methods, Homotopy Perturbation Method (HPM) and a simple and innovative approach which we have named it Akbari-Ganji's Method(AGM).
Abstract: In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using two powerful analytical methods, Homotopy Perturbation Method (HPM) and a simple and innovative approach which we have named it Akbari-Ganji’s Method(AGM). Comparisons have been made between HPM, AGM and Numerical Method and the acquired results show that these methods have high accuracy for different values of α, Hartmann numbers, and Reynolds numbers. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated.

22 citations

Journal ArticleDOI
TL;DR: In this article, the three dimensional (3D) flow of hydromagnetic Carreau nanofluid transport over a stretching sheet has been addressed by considering the impacts of nonlinear thermal radiation and convective conditions, infinite shear rate viscosity impacts are invoiced in the modeling.
Abstract: In this framework, the three dimensional (3D) flow of hydromagnetic Carreau nanofluid transport over a stretching sheet has been addressed by considering the impacts of nonlinear thermal radiation and convective conditions,Infinite shear rate viscosity impacts are invoiced in the modeling The heat and mass transport characteristics are explored by employing the effects of a magnetic field, thermal nonlinear radiation and buoyancy effects Rudimentary governing partial differential equations (PDEs) are represented and are transformed into ordinary differential equations by the use of similarity transformation The nonlinear ordinary differential equations (ODEs), along with the boundary conditions, are resolved with the aid of a Runge-Kutta-Fehlberg scheme (RKFS) based on the shooting technique,The impact of sundry parameters like the viscosity ratio parameter (β*), nonlinear convection parameters due to temperature and concentration (βT, βC), mixed convection parameter (α), Hartmann number (M2), Weissenberg number (We), nonlinear radiation parameter (NR), and the Prandtl number (Pr) on the velocity, temperature and the concentration distributions are examined Furthermore, the impacts of important variables on the skin friction, Nusselt number and the Sherwood number have been scrutinized through tables and graphical plots,The velocity distribution is suppressed by greater values of the Hartmann number The velocity components in the tangential and axial directions of the fluid are raised with the viscosity ratio parameter and the tangential slip parameter, but these components are reduced with concentration to thermal buoyancy forces ratio and stretching sheet ratio

22 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated free convection heat transfer of Al2O3/water nanofluid in an inclined closed enclosure considering radiation effects and found that the addition of radiation heat transfer results in an intensification of the entropy generation and a reduction in the Bejan number.

22 citations

Journal ArticleDOI
TL;DR: In this article, the buoyant convection of a liquid metal in a circular cylinder with a vertical axis and with electrically insulating walls is treated, and the liquid region is divided into an inviscid core, Hartmann layers with an O(Ha−1) dimensionless thickness adjacent to the horizontal top and bottom walls, and a side layer with O( Ha−1/2) dimensions.
Abstract: In this paper the buoyant convection of a liquid metal in a circular cylinder with a vertical axis and with electrically insulating walls is treated. There is an externally applied, uniform, vertical magnetic field. A nonaxisymmetric heat flux at the vertical wall of the cylinder produces a nonaxisymmetric temperature, which drives a nonaxisymmetric liquid motion. The magnetic field is sufficiently strong that inertial effects and convective heat transfer can be neglected. For large values of the Hartmann number Ha, the liquid region is divided into an inviscid core, Hartmann layers with an O(Ha−1) dimensionless thickness adjacent to the horizontal top and bottom walls, and a side layer with an O(Ha−1/2) dimensionless thickness adjacent to the vertical wall. The characteristic velocity is chosen as the magnitude of the core velocity for an axisymmetric temperature. For an axisymmetric temperature, the core velocity is O(1), and the flow circuit is completed by an O(Ha1/2) vertical velocity inside the side layer. A nonaxisymmetric temperature drives much larger, O(Ha) azimuthal and vertical velocities inside the side layer. This high‐velocity side layer produces an O(Ha1/2) velocity across the core. Perfect axisymmetry is a special case for which a vertical magnetic field strongly suppresses buoyant convection. With a deviation from axisymmetry, electromagnetic suppression of buoyant convection is weaker: there are strong jets adjacent to the vertical wall and a strong flow across the core.

22 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023122
2022234
2021236
2020219
2019231
2018176