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Natural convection flow in a vertical annulus with time-periodic thermal boundary conditions

Propulsion and Power Research 2019年第1期8卷 47-55页

作者： Basant K.Jha Michael O.Oni Department of Mathematics.Ahmadu Bello University Zaria.Nigeria

This paper presents an analytical solution for natural convection flow in a vertical annulus due to time-periodic heating of annulus ***-form expressions for velocity,temperature,skin-friction,mass flow rate and rate of heat transfer which is expressed as Nusselt number are obtained by solving the present mathematical model after separating into steady component and periodic *** effects of pertinent parameters such as Strouhal number(St),Prandtl number(Pr)and radius ratio(λ)are shown with the aid of contour and line *** indicate that the role of Strouhal number and Prandtl number is to decrease fluid velocity,temperature and ***,increase in Strouhal number increases the temperature phase-lag.

关键词： Natural convection Fully developed flow Time-periodic heating vertical annulus Strouhal number

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Entropy generation for mixed convection flow in vertical annulus with two regions hydromagnetic viscous and Cu-Ag water hybrid nanofluid through porous zone: a comparative numerical study

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Propulsion and Power Research 2022年第3期11卷 401-415页

作者： T.Rahim J.Hasnain N.Abid Z.Abbas Department of Mathematics The Islamia University of BahawalpurBahawalpur63100Pakistan Department of Computer Sciences Bahria UniversityIslamabad44000Pakistan

The primary determination of this study is a numerical investigation of the entropygeneration (EG) in the steady two-region flow of viscous fluid and hybrid nanofluid (NF) in along-infinite vertical annulus having a clear region as well as porous media. Stoke’s and single-phase NF models are used to study the viscous fluid and hybrid nanofluid (HNF) heat transferdevelopments, respectively. Two types of nanoparticles are taken, such as copper (Cu) and sil-ver (Ag) within base fluid water to make it a HNF. Darcy-Brinkman law is also used to examinethe flow through the porous zone in the annulus. Necessary quantities have been used in thesystem of equations to transfer them into non-dimensional forms. For momentum and energytransport, the numerical results are evaluated for various model parameters and are examinedvia the shooting method in MATHEMATICA. It is noted that the momentum and energy trans-port are more significant when two immiscible fluids in a clear vertical annulus are taken. Thefindings also indicate that two-phase momentum and heat flow are greater when a NF is used in Region-II and lower when a HNF is used. The temperature (in Region-II) falls with a high na-nomaterials volume fraction (see Figure 4) while it is increased when the Hartman number isincreased. Moreover, velocity declines with increment in nanomaterials volume fraction. Thus,higher thermal conductivity can be accomplished by using a magnetic field.

关键词： Two-phase flow Hybrid nanofluid Viscous fluid Porous zone vertical annulus Entropy generation

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STEADY-STATE NATRUAL CONVECTION WITH PHASE CHANGE IN A vertical annulus PACKED WITH POROUS MEDIA

STEADY-STATE NATRUAL CONVECTION WITH PHASE CHANGE IN A VERTI...

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国际能源转换及利用学术会议

作者： Shen Sheng Liu Wei Huang Xiaoming Fan Aiwu Zhu Guangming Department of Power Engineering Huazhong University of Science and Technology Wuhan 430074 P. R. China

In this paper, a set of partial differential equations is used to describe steady-state natural convection in a vertical annulus filled with porous media unsaturated by refrigerant agent R113. The finite difference method has been adopted to solve the governing equations for two-dimensional field under cylinder coordinate. The calculating results are summarized to show the transport characteristics in the porous media with phase change.

关键词： porous media vertical annulus natural convection phase change

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