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Dissociation effects in hypersonic flow past a circular cone at an angle of attack

  • Girishwar Nath
Article
  • 44 Downloads

Abstract

The analytical solution to the steady, compressible, non-viscous, inviscid hypersonic flow past a circular cone at an angle of incidence, with an attached Shockwave, in the presence of dissociation of air in the shock layer, has been obtained here under the assumption of thermal equilibrium. Expression for the velocity, pressure, temperature, density, velocity of air, Mach number, pressure, drag and lift coefficients have been obtained both in the shocklayer outside the vortical layer and on the surface of the cone inside the vortical layer.

Keywords

Mach Number Supersonic Flow Lift Coefficient Shock Layer Hypersonic Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Symbols

R,θ, ϕ

spherical polar co-ordinates

u, v, w

velocity components

p

pressure

ρ

density

T

absolute temperature

a

velocity of sound

a

semi-vertical angle of the cone

ψ

shock wave angle

β

angle of attack

q

resultant velocity

a

free stream velocity

M

Mach number

M

free-stream Mach number

C

maximum speed of air under adiabatic conditions

u0

value ofu on the surface of the cone in the case of zero angle of incidence

S0

constant reference value of the specific entropy

CD

drag coefficient

CL

lift coefficient

CX

axial pressure force coefficient

CN

normal pressure force coefficient

h

specific enthalpy

S

specific entropy

v

ratio of specific heats

m

molecular weight of air

k

density ratio in the case of zero angle of incidence (taken as 0 · 1)

λ1...λ4

defined by equations (19) to (22)

U1..., V1..., R1,..., Q1..., S1..., etc

functions of θ

Cv

specific heat at constant volume

Subscripts

1, 2

conditions ahead of the shock and behind it respectively

Bar (-)

condition in the shock layer (in the presence of dissociation) in the case of zero angle of incidence

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Copyright information

© Indian Academy of Sciences 1966

Authors and Affiliations

  • Girishwar Nath
    • 1
  1. 1.Budapest XIVHungary (Europe)

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