The boundary layer of a compressible singly ionized frozen flow over a flat plate - A new method of solution

G. Ben-Dor, Z. Rakib, O. Igra

Research output: Contribution to journalArticlepeer-review

Abstract

An analytical two-dimensional model is presented for shock-tube generated flat plate boundary layer flow. Assumptions made include laminar flow, no radiation losses or diffusion, constant free stream conditions along the flow direction, no electric or magnetic fields, and thermal equilibrium. Equations are defined for conservation of continuity, momentum, energy, and electron gas, and for the state of the plasma. Transformations are introduced to reduce the normal two-point boundary value problem to a Cauchy problem. Additional assumptions are made of constant values for the Prandtl and Lewis numbers and the exponential dependence (ED) of the density-viscosity product on the temperature. The model is illustrated for argon flows over isothermal and isolated plates. The Prandtl number and ED are found to be significant factors in the flowfields generated.

Keywords

  • Boundary Layer Flow
  • Compressible Flow
  • Computational Fluid Dynamics
  • Flat Plates
  • Frozen Equilibrium Flow
  • Magnetohydrodynamic Flow
  • Argon Plasma
  • Cauchy Problem
  • Free Flow
  • Ionized Gases
  • Laminar Flow
  • Shock Tubes
  • Two Dimensional Flow
  • Two Dimensional Models

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