Shock-Formation Down a Non-Uniform Tube in Two Phase Flow

Pandey, Kanti; Verma, Preeti

doi:10.5539/jmr.v5n3p17

Cited by 2 publications

(3 citation statements)

References 18 publications

(15 reference statements)

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“…3). If we take  =0, the problem reduces to that considered by Pandey and Verma [10]. For 0   , it reduces into problem dealt by Milton [5] (Fig.…”

Section: Resultsmentioning

confidence: 99%

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Re-Reflection Effect On Shock Waves in Two-Phase Flows through a Tube of Variable Cross-Section

Pandey¹

2018

EJERS

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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 .

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“…3). If we take  =0, the problem reduces to that considered by Pandey and Verma [10]. For 0   , it reduces into problem dealt by Milton [5] (Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Jena and Sharma [9] have studied the self-similar shocks in dusty gases. Following Whitham [2], Pandey and Verma [10] have discussed the formation of shock down a non-uniform tube in two phase flows.…”

Section: Introductionmentioning

confidence: 99%

Re-Reflection Effect On Shock Waves in Two-Phase Flows through a Tube of Variable Cross-Section

Pandey¹

2018

EJERS

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“…They also investigated the effect of density gradient and area variation on the shock wave formation. Pandey et al [24], studied the formulation of one-dimensional shock flow in a tube of varying area in two-phase flow. The study of structure through the kinematic model and geometrical shock dynamics model for non-linear propagating shock waves using the (A-M rule) CCW relation has been done by Ridoux [25].…”

Section: Introductionmentioning

confidence: 99%

The effects of gravitational and magnetic fields on the propagation of cylindrical strong shock waves in a van der Waals gas

Anand,

Singh

2024

Phys. Scr.

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The present study aims to investigate the effects of non-idealness parameter, gravitation and magnetic fields behind the flow of motion for cylindrical hydro-magnetic strong shock waves travelling through a tube of variable cross-section in a self-gravitating van der Waals gas. The analytical solution and expression of the flow variables for one-dimensional adiabatic flow behind the strong shock waves are obtained using Chester-Chisnell-Whitham’s (CCW) Method. The initial density distribution of the medium is assumed to be where is the density at the axis of symmetry, a constant and r is the distance from the axis of symmetry. The magnetic field on other hand has been assumed to be varying azimuthal and constant axial components. Due to the presence of magnetic and gravitational fields, the uniform density distribution of the medium becomes non-uniform and this becomes an interesting fact to study. It is found that, all flow variables except the pressure rises with the shock propagation distance. It is also demonstrated that the gravitational and magnetic fields cause the numerical values of the flow variables to increase behind the shock wave. Further research shows that even a small increase in the gravitational field increases the pressure behind the shock wave, whereas a small increase in the magnetic field has little effect on it. Furthermore, it is found that the flow variables get strengthened behind the shock wave in comparison with ahead of the shock. The trends of the current findings are in good agreement with the existing experimental observations results.

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Shock-Formation Down a Non-Uniform Tube in Two Phase Flow

Cited by 2 publications

References 18 publications

Re-Reflection Effect On Shock Waves in Two-Phase Flows through a Tube of Variable Cross-Section

Re-Reflection Effect On Shock Waves in Two-Phase Flows through a Tube of Variable Cross-Section

The effects of gravitational and magnetic fields on the propagation of cylindrical strong shock waves in a van der Waals gas

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