Abstract

In present paper Re-reflection effect on shock –waves in two-phase flows through a tube of variable cross-section is considered when particle volume fraction appeared as an additional variable .It is concluded that re-reflected effects reduce the cross sectional area .For two-phase flows when equilibrium is eventually established , presence of particle volume fraction , further reduce the cross – sectional area. One dimensional area relation for a non – uniform , steady flow ahead of a shock is obtained and concluded that all the results are valid for the case when direction of the shock motion and the gas flow ahead of the shock is same . In preparation of graphs Mathematica 7 is used .

Highlights

  • Flow of water, blood, gas and other fluids through a tube or channel of variable cross-section is important for daily life, medicine, engineering, underground explosion, floods and other branches of science and social sciences

  • Rudinger [8] has presented the thermodynamic properties of shock waves, steady nozzle flow and general non steady onedimensional flow of the gas particle mixture with various examples depicting the importance of velocity and temperature relaxations

  • In present paper Re-reflection effect on shock waves in two phase flows through a tube of variable cross section is considered when particle volume fraction appeared as an additional variable

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Summary

INTRODUCTION

Blood, gas and other fluids through a tube or channel of variable cross-section is important for daily life, medicine, engineering, underground explosion, floods and other branches of science and social sciences. Rudinger [8] has presented the thermodynamic properties of shock waves, steady nozzle flow and general non steady onedimensional flow of the gas particle mixture with various examples depicting the importance of velocity and temperature relaxations. In present paper Re-reflection effect on shock waves in two phase flows through a tube of variable cross section is considered when particle volume fraction appeared as an additional variable. Re-reflection effects on shock wave in a tube of variable cross section is obtained and secondly, one dimensional area relation for a non-uniform, steady flow ahead of a shock is obtained and concluded that all the results are valid for the case when direction of the shock motion and the gas flow ahead of the shock is same

BASIC EQUATIONS
CONSERVATION LAWS AND SHOCK RELATIONS
FORMATION OF PROBLEM
RESULTS AND DISCUSSION
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