Enhancement of Heat Transfer in a Laminar Hydromagnetic Flow of a Liquid Metal Past a Thermally Conducting and Oscillating Infinite Flat Plate

Abstract

The combined effects of conjugation and magnetic field on the heat transfer enhancement in a laminar liquid metal flow past a thermally conducting and sinusoidally oscillating infinite flat plate are investigated. The wall materials used are compatible with the liquid metals and are assumed to be of finite thickness. Analytical solutions are obtained for the velocity and the temperature distributions. The combined effects of thermal conductivity, the thickness of the plate, and the transverse magnetic field on the net heat flux transported are analyzed in detail and it is found that such effects are same as those on the transverse temperature gradient at any frequency. Due to oscillation, the heat flux is enhanced by O(10 3 ). The optimum value of wall thickness and the corresponding boundary layer thickness for which the maximum heat flux is obtained are reported. The heat flux transported can be increased by choosing a wall of low thermal conductivity. A maximum increase of 52.03% in heat flux can be achieved by optimizing the wall thickness. These information may be useful while designing magnetohydrodynamic liquid metal heat transfer systems. All the results obtained are in good agreement with the results reported earlier. C⃝

Study of Conjugate Heat Transfer in Electromagnetic Liquid Metal Dream Pipe

“…As the effects of M on ANTTD and κ * e are similar, we conclude that the effect of M on κ * e depends on the effect of M on ANTTD. This result has been already reported by Shailendhra and Anjali Devi [25] in the non-conjugate case of the hydromagnetic flow between counter-oscillating plates and by Puvaneswari and Shailendhra [17] in the conjugate case of hydromagnetic flow past an oscillating and thermally conducting flat plate.…”

“…Similar observations were made for all the values of M from 0 to 62. These results have been already observed by [15][16][17] in the absence of magnetic field and by [30] in the presence of magnetic field. However, they have not rendered any physical justification for the above observation and hence we provide one here.…”

“…One of the reasons for the reduction e is the reduction in velocity due to the action of the Lorentz force. It is in good agreement with Shailendhra and Anjali Devi [25,26] and Puvaneswari and Shailendhra [17]. Even though this analysis has been carried out for all possible values of α, the results are presented only for optimum α to reduce the number of graphs.…”

“…Inaba et al [16] examined the effect of conjugation on the heat transfer enhancement in an oscillatory flow through a circular pipe with conducting wall. Puvaneswari and Shailendhra [17] studied the effect of conjugation on the heat flux transported in a laminar liquid metal flow past a thermally conducting and sinusoidally oscillating infinite flat plate and concluded that the heat flux is increased by 46.14% by increasing the wall thickness to an optimum value.…”

“…Recently, Puvaneswari and Shailendhra [30] have investigated the effects of magnetic field, wall thickness and wall thermal conductivity on the enhancement of heat transfer in a hydromagnetic laminar flow of liquid metals past an oscillating and thermally conducting infinite flat plate.…”