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Unsteady mixed convective heat transfer of two immiscible fluids confined between long vertical wavy wall and parallel flat wall

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Applied Mathematics and Mechanics(English Edition) 2012年第7期33卷 931-950页

作者： J. C. UMAVATHI I. C. LIU M. SHEKAR Department of Mathematics Gulbarga University Department of Civil Engineering National Chi Nan University

The combined effects of thermal and mass convection of viscous incom- pressible and immiscible fluids through a vertical wavy wall and a smooth flat wall are analyzed. The dimensionless governing equations are perturbed into a mean part （the zeroth-order） and a perturbed part （the first-order）. The first-order quantities are ob- tained by the perturbation series expansion for short wavelength, in which the terms of the exponential order arise. The analytical expressions for the zeroth-order, the first-order, and the total solutions are obtained. The numerical computations are presented graph- ically to show the salient features of the fluid flow and the heat transfer characteristics. Separate solutions are matched at the interface by using suitable matching conditions. The shear stress and the Nusselt number are also analyzed for variations of the governing parameters. It is observed that the Grashof number, the viscosity ratio, the width ratio, and the conductivity ratio promote the velocity parallel to the flow direction. A reversal effect is observed for the velocity perpendicular to the flow direction.

关键词： mixed convection wavy wall immiscible fluid perturbation method

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Fluid Flow and Mixed Heat Transfer in a Horizontal Channel with an Open Cavity and wavy wall

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Intelligent Automation & Soft Computing 2023年第7期37卷 147-163页

作者： Tohid Adibi Shams Forruque Ahmed Omid Adibi Hassan Athari Irfan Anjum Badruddin Syed Javed Department of Mechanical Engineering University of BonabBonabIran Science and Math Program Asian University for WomenChattogramBangladesh Energy Management Group Energy and Environment Research CenterNiroo Research InstituteTehranIran Department of Mechanical Engineering Elm-o-Fann University College of Science and TechnologyUrmiaIran Mechanical Engineering Department College of EngineeringKing Khalid UniversityAbha61421Saudi Arabia

Heat exchangers are utilized extensively in different industries and ***,optimizing heat exchangers has been a major concern among *** various studies have been conducted to improve the heat transfer rate,the use of a wavy wall in the presence of different types of heat transfer mechanisms has not been *** study thus investigates the mixed heat transmission behavior of fluid in a horizontal channel with a cavity and a hot,wavy *** fluid flow in the channel is considered laminar,and the governing equations including continuity,momentum,and energy are all solved *** numerical solution is stabilized by using a first-order multi-dimensional characteristic-based scheme in combination with a fifth-order Runge-Kutta *** flow and heat transfer effects of varying Richardson numbers,Reynolds numbers,wave amplitude,wavelength,channel height,and cavity width are *** results indicate that the mean Nusselt number increases with an increase in Reynolds number,wave amplitude,and cavity width,while it decreases with an increase in Richardson number,wavelength,and channel *** minimum Nusselt number is calculated to be 0.7,whereas the maximum Nusselt number is *** Nusselt number has only increased by 40%in the higher depths of the cavity,despite the Richardson number being 10,000 times *** this figure increases to 130%at lower *** mean Nusselt number is thus significantly influenced by channel height and cavity *** influence of wave amplitude on the mean Nusselt number is twice that of wavelength.

关键词： Mixed heat transfer wavy wall horizontal channel open cavity numerical simulation

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Numerical Study for Turbulent Flow of Drag and Flow Noise with wavy wall

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Journal of Shanghai Jiaotong university(Science) 2011年第1期16卷 45-54页

作者：孟堃宇张怀新史勇林潘雨村 School of Naval Architecture Ocean and Civil EngineeringShanghai Jiaotong University

In this paper,a numerical simulation of flow-induced noise by the low Mach number turbulent flow with a sinusoidal wavy wall was presented based on the unsteady incompressible Navier-Stokes equations and Lighthill's acoustic *** eddy simulation (LES) was used to investigate the space-time flow field and the Smagorinsky sub-grid scale (SGS) model was introduced for turbulence *** Lighthill's acoustics analogy,the flow field simulated by LES was taken as near-field sound sources and radiated sound from turbulent flow was computed by the Curle's integral formulation under the low Mach number *** spanwise wavy wall and streamwise wavy wall with various wall wave amplitudes were discussed to investigate their effects on reducing the drag and flow *** relationship between flow noise and drag on the wavy wall is also studied.

关键词： large eddy simulation (LES) wavy wall riblets turbulent flow flow noise

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An Integral Research of the Flow of a Liquid Film Along a Vertical wavy wall

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Journal of Energy and Power Engineering 2013年第5期7卷 899-902页

作者： Jinsheng Shi College of Mechanical Engineering Tianjin University of Science & Technology Tianjin 300222 China

An approximate research on the flow of a two dimensional, steady laminar liquid film along a vertical, long periodic wavy wall is conducted based on boundary layer integration. An ordinary equation about the film evolution is derived. By analyzing the integral equation of the hydrodynamic boundary layer under different Reynolds number domains, the flow characteristics are studied preliminarily. Influences of wall waviness, flow rate on the film development are discussed.

关键词： Liquid film wavy wall boundary layer.

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TRPIV investigation of space-time correlation in turbulent flows over flat and wavy walls

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Acta Mechanica Sinica 2014年第4期30卷 468-479页

作者： Wei Wang Xin-Lei Guan Nan Jiang Department of Mechanics Tianjin University Tianjin Key Laboratory of Modern Engineering Mechanics The State Key Laboratory of Nonlinear Mechanics Institute of Mechanics Chinese Academy of Sciences

The present experimental work is devoted to in- vestigate a new space-time correlation model for the turbulent boundary layer over a flat and a wavy walls. A turbulent boundary layer flow at Reo = 2460 is measured by tomographic time-resolved particle image velocimetry （Tomo-TRPIV）. The space-time correlations of instantaneous streamwise fluctuation velocity are calculated at 3 different wall-normal locations in logarithmic layer. It is found that the scales of coherent structure increase with moving far away from the wall. The growth of scales is a manifestation of the growth of prevalent coherent structures in the turbulent boundary layer like hairpin vortex or hairpin packets when they lift up. The resulting contours of the space-time correlation exhibit elliptic-like shapes rather than straight lines. It is suggested that, instead of Taylor hypothesis, the elliptic model of the space-time correlation is valid for the wallbounded turbulent flow over either a flat wall or a wavy wall. The elliptic iso-correlation curves have a uniform preferred orientation whose slope is determined by the convection velocity. The convection velocity derived from the space-time correlation represents the velocity at which the large-scale eddies carry small-scale eddies. The sweep velocity rep- resents the distortions of the small-scale eddies and is intimately associated with the fluctuation velocity in the logarithmic layer of turbulent boundary layers. The nondimensionalized correlation curves confirm that the elliptic model is more proper for approximating the space-time correlation than Taylor hypothesis, because the latter can not embody the small-scale motions which have non-negligible distortions. A second flow over a wavy wall is also recorded using TRPIV. Due to the combined effect of shear layers and the adverse pressure gradient, the space-time correlation does not show an elliptic-like shape at some specific heights over the wavy wall, but in the outer region of the wav

关键词： Tomographic particle image velocimetry Tur-bulent boundary layer wavy wall Space-time correlation Taylor hypothesis Elliptic model

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Unsteady Flow of Hybrid Nanofluid with MagnetohydrodynamicsRadiation-Natural Convection Effects in a U-Shaped wavy Porous Cavity

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Computer Modeling in Engineering & Sciences 2024年第12期141卷 2225-2251页

作者： Taher Armaghani Lioua Kolsi Najiyah Safwa Khashi’ie Ahmed Muhammed Rashad Muhammed Ahmed Mansour Taha Salah Aboulbaba Eladeb Department of Engineering West Tehran BranchIslamic Azad UniversityTehran***Iran Department of Mechanical Engineering College of EngineeringUniversity of Ha’ilHa’il City81451Saudi Arabia Fakulti Teknologi dan Kejuruteraan Mekanikal Universiti Teknikal Malaysia MelakaHang Tuah JayaDurian TunggalMelaka76100Malaysia Department of Mathematics Faculty of ScienceAswan UniversityAswan81528Egypt Department of Mathematics Faculty of ScienceAssuit UniversityAssuit71515Egypt Basic and Applied Sciences Department College of Engineering and TechnologyArab Academy for Science&Technology and Maritime Transport(AASTMT)Aswan Branch81511AswanEgypt Department of Chemical and Materials Engineering College of EngineeringNorthern Border UniversityArar91431Saudi Arabia

In this paper,the unsteady magnetohydrodynamic(MHD)-radiation-natural convection of a hybrid nanofluid within a U-shaped wavy porous cavity is *** problem has relevant applications in optimizing thermal management systems in electronic devices,solar energy collectors,and other industrial applications where efficient heat transfer is very *** study is based on the application of a numerical approach using the Finite Difference Method(FDM)for the resolution of the governing equations,which incorporates the Rosseland approximation for thermal radiation and the Darcy-Brinkman-Forchheimer model for porous *** was found that the increase of Hartmann number(Ha)causes a reduction of the average Nusselt number(Nu),with a maximum decrease of 25%observed as Ha increases from 0 to *** addition,the influence of the wall’s wave amplitude and the heat source length on the heat transfer rate was quantified,and it was revealed that at high wave amplitude,the average Nu increases by up to 15%.These findings suggest that manipulating magnetic field strength and cavity geometry can significantly enhance thermal *** novelty of this is related to the exploration of a U-shaped wavy cavity,which is not covered in previous studies,and to the detailed examination of the combined effects of magnetic fields,radiation,and hybrid nanofluids.

关键词： Thermal radiation wavy wall MHD natural convection hybrid-nanofluid porous medium

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