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Effect of dispersion on thermally stable stratified power‐law fluids over the vertical frustum of a cone in a non‐Darcy porous medium: Flow separation
Author(s) -
Chetteti RamReddy,
Srivastav Abhinava
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21983
Subject(s) - frustum , mechanics , stratification (seeds) , porous medium , boundary layer , heat transfer , stratified flow , materials science , porosity , mathematics , physics , geometry , turbulence , composite material , seed dormancy , germination , botany , dormancy , biology
Abstract The present problem shares out the influences of convective heating and thermal dispersion on thermally stable stratified power‐law fluid flow over the vertical frustum of a cone situated in a non‐Darcy porous medium. For the first time, it is considered in both aiding and opposing flow cases as it is readily applicable in realistic, practical situations. The local nonsimilarity approach, along with the spectral local linearization method, is used to analyze the fluid behavior and heat transfer within the boundary layer region. In addition, error analysis and comparison with the existing results are also included to validate the obtained results wherever feasible. It is significant to perceive the existence of flow separation in this study as more gain of the velocity of a power‐law fluid is seen for aiding flow case in comparison with the opposing flow case. Also, it is evident from these results that the separation of flow is less in the presence of thermal stratification, but it is more in the absence of thermal stratification. Finally, thermal stratification significantly affects the heat transfer rate of power‐law fluids besides delaying the boundary layer separation.