The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
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Yicheng Pang
,
Jianjun Ge
Abstract
We analyse exact solutions to the Riemann problem for a one-dimensional isentropic and perfectly conducting non-ideal dusty gas flow in the presence of a transverse magnetic field. We give the expression of wave curves as well as the behaviors of these wave curves. A new technique is provided to get a complete list of analytical solutions with the corresponding criteria. Moreover, the numerical solutions to the Riemann problem are also given. It is shown that the analytical solutions match well with the corresponding numerical solutions.
Funding source: Science and Technology Foundation of Guizhou Province
Award Identifier / Grant number: [2019]1046
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11661015
Funding source: Natural Science Project of the Education Department of Guizhou Province
Award Identifier / Grant number: KY[2021]031
Acknowledgments
The authors would like to thank the referees for their valuable suggestions which have significantly improved the manuscript.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work is partially supported by the National Natural Science Foundation of China (11661015), the Science and Technology Foundation of Guizhou Province ([2019]1046), the Natural Science Project of the Education Department of Guizhou Province (KY[2021]031), the Foundation of Guizhou Provincial Key Laboratory of Statistical Analysis of Big Data, and the Project of High Level Creative Talents in Guizhou Province (601605005).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation
- Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters
- Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition
- The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field
- Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method
- Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative
- Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators
- Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls
- 3D structure of single and multiple vortices in a flow under rotation
- Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources
