Magneto-thermal convection in lid-driven cavity
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Sådhanå (2020)45:227 https://doi.org/10.1007/s12046-020-01463-6
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Magneto-thermal convection in lid-driven cavity CHITRAK MONDAL1, RAJESH SARKAR1, SUBHRAJYOTI SARKAR1, NIRMALENDU BISWAS2 and NIRMAL K. MANNA1,* 1
Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India Department of Power Engineering, Jadavpur University, Salt Lake, Kolkata 700106, India e-mail: [email protected]
2
MS received 14 April 2018; revised 10 December 2018; accepted 14 February 2019 Abstract. The fluid flow and convective heat transfer occurring in a lid-driven cavity which is filled with electricity conductive fluid and subjected to external magnetic field, is analyzed comprehensively. The variations in inclination angle of magnetic field and its strength are addressed during the investigation. The cavity is heated by a linearly varying heat source applied on the left wall. Different regimes of heat transfer are considered by varying pertinent flow-parameters namely Reynolds number (Re), Richardson number (Ri) and Hartmann number (Ha). The effects of magnetic field and the wall motion are studied extensively. The study is carried out using a well-validated in-house CFD code based on finite volume method and SIMPLE algorithm. The obtained results reveal strong influence of Ri and Ha on the heat transfer characterization. Keywords.
Buoyant flow; magneto-hydrodynamics; lid-driven cavity; convective heat transfer; heatlines.
1. Introduction Magneto-hydrodynamics [1], in short MHD, is an inter-disciplinary subject of interest involving both hydrodynamics and electrodynamics [2]. Magneto-hydrodynamics is concerned with the effect of magnetic force on the flow of an electrically conducting fluid. According to the laws of electrodynamics, the relative movement of conducting fluid and magnetic field causes an e.m.f. that induces an electric current [3]. It, in turn, gives rise to an induced magnetic field. This induced magnetic field along with the applied magnetic field acts against the fluid motion in the form of magnetic drag force. Whereas, the combined magnetic field (applied plus induced) interacts with the induced current and gives rise to Lorentz force [3]. In the study of MHD coupled heat transfer has two major categories. When the medium is highly conductive, heat is produced by electromagnetic fields and corresponding application areas are pumps and generators. While in the second case the medium is poor conductor and the induced field is negligible compared to the imposed field. The electromagnetic field is used to control the heat transfer in cases of convective flows and aerodynamic heating. The present problem concerns with the second case. This paper is a revised and expanded version of an article presented in ‘‘First International Conference on Mechanical Engineering’’ held at ‘Jadavpur University’, Kolkata, India during January 4–6, 2018 (INCOM-2018).
*For correspondence
Combined convective flow and heat transfer in a cavity finds many ap
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