dissipative fluid
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Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1568 ◽  
Author(s):  
Luis Herrera ◽  
Alicia Di Prisco ◽  
Justo Ospino

We study the general properties of dissipative fluid distributions endowed with hyperbolical symmetry. Their physical properties are analyzed in detail. It is shown that the energy density is necessarily negative, and the central region cannot be attained by any fluid element. We describe this inner region by a vacuum cavity around the center. By assuming a causal transport equation some interesting thermodynamical properties of these fluids are found. Several exact analytical solutions, which evolve in the quasi–homologous regime and satisfy the vanishing complexity factor condition, are exhibited.


Author(s):  
L. Herrera ◽  
A. Di Prisco ◽  
J. Ospino

Abstract We investigate the evolution of self-gravitating either dissipative or non-dissipative systems satisfying the condition of minimal complexity, and whose areal radius velocity is proportional to the areal radius (quasi-homologous condition). Several exact analytical models are found under the above mentioned conditions. Some of the presented models describe the evolution of spherically symmetric dissipative fluid distributions whose center is surrounded by a cavity. Some of them satisfy the Darmois conditions whereas others present shells and must satisfy the Israel condition on either one or both boundary surfaces. Prospective applications of some of these models to astrophysical scenarios are discussed.


Heat Transfer ◽  
2020 ◽  
Vol 49 (3) ◽  
pp. 1583-1612
Author(s):  
K. V. B. Rajakumar ◽  
M. Umasankara Reddy ◽  
K. S. Balamurugan ◽  
K. V. B. S. Raja Ram

The current study focuses on two-dimensional steady convective fluid flow in the occurrence of heat and mass transfer plates aligned parallelly, involving radiation effect and viscous dissipation. Here the bottom plate is porous and stretching. The governing equations are adapted into non-linear, ordinary linear equations with similarity functions and evaluated by MATLAB in the embedded bvp5c solution. The impacts of the flow factors on the different profiles are investigated and the results are illuminated graphically


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