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H. V. R. Mittal

Bio: H. V. R. Mittal is an academic researcher from Indian Institute of Technology Mandi. The author has contributed to research in topics: Cylinder & Reynolds number. The author has an hindex of 5, co-authored 14 publications receiving 75 citations. Previous affiliations of H. V. R. Mittal include United Arab Emirates University & King Abdullah University of Science and Technology.

Papers
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Journal ArticleDOI
TL;DR: In this article, numerical simulations of two-dimensional flow around a rotationally oscillating circular cylinder, placed in a uniform cross flow of a constant property Newtonian fluid, are performed at a fixed Reynolds number of 200.

33 citations

Journal ArticleDOI
TL;DR: In this paper, a heated rotationally oscillating circular cylinder placed in a uniform cross flow of constant properties fluid is investigated and the two-dimensional governing equations of flow motion and energy are solved numerically on non-uniform polar grids using a higher order compact (HOC) formulation.

25 citations

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TL;DR: In this article, the initial development of viscous, incompressible flow induced by an impulsively started circular cylinder which performs time dependent sinusoidal rotational oscillations about its axis is investigated numerically.
Abstract: The initial development of the two dimensional viscous, incompressible flow induced by an impulsively started circular cylinder which performs time dependent sinusoidal rotational oscillations about its axis is investigated numerically. The investigation is based on the solutions of stream function-vorticity formulation of Navier-Stokes equations on non-uniform polar grids using higher order compact formulation. The numerical method is validated by comparing the computed results with existing experimental and numerical results for Reynolds numbers Re = 150 and 500. The effects of forced oscillation frequency f and peak rotation rate αm on the early development of the flow structure in the near wake region are discussed. Results are given for the initial development with time of the flow structure at the rear of the cylinder at Re = 200. The details of the formation, movement, closure points, and strengths of the vortices behind the cylinder are presented. The velocity profiles at different locations and vorticity profiles at the surface of the cylinder are also shown. The effect of increase in αm on the timing of the formation of the vortices, the closed wake length, and the thickness of the boundary layer is investigated.

23 citations

Journal ArticleDOI
TL;DR: In this article, the authors proposed a new methodology for numerically solving elliptic and parabolic equations with discontinuous coefficients and singular source terms, obtained by clubbing a recently developed Higher Order Compact (HOC) methodology with special interface treatment for the points just next to the points of discontinuity.
Abstract: In this paper, we propose a new methodology for numerically solving elliptic and parabolic equations with discontinuous coefficients and singular source terms. This new scheme is obtained by clubbing a recently developed Higher Order Compact (HOC) methodology with special interface treatment for the points just next to the points of discontinuity. The overall order of accuracy of the scheme is at least second. We first formulate the scheme for one-dimensional (1D) problems and then extend it directly to two-dimensional (2D) problems in polar coordinates. In the process, we also perform convergence and related analysis for both the cases. Finally, we show a new direction of implementing the methodology to 2D problems in cartesian coordinates. We then conduct numerous numerical studies on a number of problems, both for 1D and 2D cases including the flow past circular cylinder governed by the incompressible Navier-Stokes (N-S) equations. We compare our results with existing numerical and experimental results. In all the cases our formulation is found to produce better results on relatively coarser grids. For the circular cylinder problem, the scheme used is seen to capture all the flow characteristics including the famous von-Karman vortex street. Copyright c © 2010 John Wiley & Sons, Ltd.

20 citations

Journal ArticleDOI
TL;DR: A new finite difference scheme based on the higher-order compact technique is presented for solving problems with complex immersed interfaces in arbitrary dimensions.
Abstract: A new finite difference scheme based on the higher-order compact technique is presented for solving problems with complex immersed interfaces in arbitrary dimensions. The scheme is designed for gen...

10 citations


Cited by
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Journal ArticleDOI
TL;DR: In this paper, the duality of solutions and the flow and heat transfer of the hybrid nanofluid past a shrinking cylinder in the appearance of Joule heating were observed.
Abstract: The objectives of the present study are (i) to observe the duality of solutions, and (ii) to investigate the flow and heat transfer of the hybrid nanofluid past a shrinking cylinder in the appearance of Joule heating. The single phase nanofluid model with modified thermophysical properties are used for the mathematical model. The similarity transformation simplifies the model (PDEs) into similarity (ordinary) differential equations. bvp4c solver is used to compute the reduced equations. For the validation part, the analytical solution is developed using an exact analytical method and compared with the numerical values for several cases. First and second solutions are observable for the shrinking cylinder case only if suction parameter is applied. Meanwhile, only the first solution is found to be stable from the stability analysis. The application of high suction strength make the reduced heat transfer rate is lower for hybrid nanofluid (Cu-Al2O3/water) than alumina-water nanofluid but, opposite result is found for the skin friction coefficient. The addition of curvature parameter (flat plate to cylinder) can quicken the separation process of boundary layer. This results are conclusive to the pair of alumina and copper only.

88 citations

Journal ArticleDOI
TL;DR: In this article , a computational model is established for the purpose to amplify the energy communication rate and enhance the productivity and performance of thermal energy propagation for several industrial and biological purposes, which is expressed as a system of PDEs.
Abstract: The current study addresses the flow of steady electrically conducting hybrid nanofluid (HNF) across an impermeable slender stretchable sheet. The flow distribution takes into consideration the effects of variable magnetic fields, heat production, Hall current and chemical reactions. A computational model is established for the purpose to amplify the energy communication rate and enhance the productivity and performance of thermal energy propagation for several industrial and biological purposes. The hybrid nanofluid is comprised of silver and magnesium oxide nanomaterials in the working fluid water. Among transition metals and alloys, magnesium oxide and silver nanoparticles (NPs) have been extensively documented to have broad-spectrum antibacterial properties. Silver NPs are the most extensively employed inorganic NP, having several applications in biomaterial detection and antibacterial actions. The scenario has been expressed as a system of PDEs. Which are simplified to the system of ODEs through similarity replacements. The computing approach PCM is used to subsequently evaluate the acquired 1st order differential equations. The outcomes are checked with the bvp4c package and existing literature for consistency and validity. It has been noticed that the axial velocity profile enhances with the effect of Hall current m and velocity power index constraint n, while reducing with the variation of nanoparticles volume friction ϕ1,ϕ2 and slender sheet wall thickness parameter δ.

50 citations

Journal ArticleDOI
TL;DR: In this article, a case study on an examination of hydrodynamic forces experienced by partially heated circular obstacles in a grooved channel is devoted to report case study, where two partially heated rectangular ribs are placed in between channel as obstacles.

38 citations

Journal ArticleDOI
TL;DR: In this article, a comparison between the magnetohydrodynamic (MHD) flow and heat transfer of non-Newtonian (Sodium Alginate) base fluid with three ferroparticles, that is Cobalt ferrite (C o F e 2 O 4 ), Manganese-Zinc ferrite(M n − Z n F e 4 ) and Nickel -Zinc-ferrite (N i − Z N F e 6 O 4 ), over an unsteady contracting cylinder was performed.

36 citations

Journal ArticleDOI
TL;DR: In this article, numerical simulations of two-dimensional flow around a rotationally oscillating circular cylinder, placed in a uniform cross flow of a constant property Newtonian fluid, are performed at a fixed Reynolds number of 200.

33 citations