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Abstract

Under the assumption of the low magnetic Reynolds number, the coupled model is established for the turbulent flow field and the externally applied magnetic field. The AUSMPW+ scheme and LUSGS method are used to solve turbulent magnetohydrodynamics (MHD) flow equations, in which the Spalart-Allmaras one-equation turbulence model is used. A series of numerical simulations over various geometry configurations, namely, a flat plate and a compression corner, is conducted by using an external electromagnetic field. Results show that the performance of MHD boundary layer flow control is determined mainly by the Lorentz force in the streamwise direction. With an external magnetic field used, the low velocity fluid in the boundary layer can decelerate and increase the static temperature locally. Moreover, the counter-flow Lorentz force always brings a negative effect on the turbulent skin friction coefficient, and the location for the MHD zone has a great influence on the control efficiency of the ramp-induced separation. A reasonable magnetic field layout scheme should be configured in practical engineering application.

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Authors and contacts

Corresponding author:Luo Shi-Chao,13687311973@163.com

Funds:Project supported by the National Key R&D Program of China (Grant Nos. 2019YFA0405203, 2019YFA0405200).

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参数	符号	数值
马赫数	$M{a_\infty }$	2.244
来流温度	T_∞/K	278
单位雷诺数	Re_∞	4.31×10⁷
来流密度	ρ_∞/(kg·m^–3)	1.0

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参数	符号/单位	数值
马赫数	$M{a_\infty }$	5.0
来流温度	${T_\infty }/{{\rm{K}}}$	100
来流压力	${P_\infty }/{ {\rm{Pa} } }$	1587
球头半径	r/m	0.01
壁面温度	${T_{\text{w} } }/{{\rm{K}}}$	130
电导率	${\sigma _{\text{e} } }/({\rm{S}} \cdot { {\text{m} }^{ - 1} })$	794

DownLoad: CSV

参数	符号/单位	数值
马赫数	$M{a_\infty }$	2.0
来流温度	T_∞/K	300
雷诺数	Re_∞,L	3.75 × 10⁶
来流压力	P_∞/(N·m^–2)	1.706 × 10⁵
平板长度	L/m	0.08
电导率	σ_e/(S·m^–1)	800

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参数	符号/单位	数值
马赫数	$M{a_\infty }$	9.22
来流温度	T_∞/K	64.5
单位雷诺数	Re_∞	4.31×10⁷
来流密度	ρ_∞/(kg·m^–3)	0.1368
前平板长度	L/m	0.56
壁面温度	T_w/K	295

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计算工况	${x_1}/{{\rm{m}}}$	${x_2}/{{\rm{m}}}$	${B_{\max } }/{{\rm{T}}}$	${\sigma _{\text{e} } }/\left( { {\rm{S} } {\cdot} { {\rm{m} }^{ - 1} } } \right)$
Case 1	0.30	0.40	4.0	4.0
Case 2	0.35	0.45	4.0	4.0
Case 3	0.40	0.50	4.0	4.0
Case 4	0.45	0.55	4.0	4.0

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Vol. 71, Issue 21 - 2022-11-05

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