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The Universal Critical Coordinate in the MHD Wall Jet

  • Research Article - Mechanical Engineering
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Abstract

In the present communication, it is shown for the first time that in a discharged jet over a plane surface in the presence of a transverse magnetic field, there exists a critical coordinate in which the shear stress at the wall becomes zero; afterward, it is expected a region of reversed flow and hence, an altered flow dynamic. This coordinate was noticed by the numerical solution of the perturbed-differential transformation of the governing equations using Runge–Kutta–Fehlberg (RKF45). It is argued that in the flow control applications regarding the magnetohydrodynamic wall jet, this newly found critical coordinate should be put into considerations for an optimal design.

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Abbreviations

E :

Electric field (N/C)

j :

Electric current (C/s)

P :

Pressure (Pa)

V :

Velocity vector (m/s)

B:

Magnetic field (N s/C m)

\( \mu \) :

Permeability (H/m)

\( \upsilon \) :

Kinematic viscosity (m2/s)

\( \rho \) :

Fluid density (kg/m3)

\( \vartheta \) :

Excess charge (C)

\( \sigma \) :

Electrical conductivity (A2 s3/m3 kg)

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Authors and Affiliations

  1. Tehran, Iran

    Amin Jafarimoghaddam

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  1. Amin Jafarimoghaddam
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Correspondence to Amin Jafarimoghaddam.

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Amin Jafarimoghaddam: Previously at the Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran.

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Jafarimoghaddam, A. The Universal Critical Coordinate in the MHD Wall Jet. Arab J Sci Eng 44, 7699–7705 (2019). https://doi.org/10.1007/s13369-019-03859-x

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  • DOI: https://doi.org/10.1007/s13369-019-03859-x

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