A series solution for melting heat transfer characteristics of hybrid Casson fluid under thermal radiation

Abstract

In the present paper, we focus on the melting heat transfer characteristics of Casson fluid involving thermal radiation and viscous dissipation. To this end, the governing partial differential equations (PDEs) are transformed into the ordinary differential equations (ODEs) via the similarity variables. Besides establishing a homotopy-based methodology and its optimization performed in MATHEMATICA package BVPh2.0, the present findings are compared and validated by those available results in the literature. It can be shown that regardless of the variable fluid properties, this methodology predicts the heat transfer rate with and without melting effect at any Prandtl number. Furthermore, it is seen that the velocity distribution is significantly affected by the melting parameter.

Numerical Investigation of Non-Uniform Heat Transfer Enhancement in Parabolic Trough Solar Collectors Using Dual Modified Twisted-Tape Inserts

“…From the available fluid mediums for PTCs, pressurized water has very good thermal properties because of high values in density and heat capacity, but in order to keep liquid phase during the heating process, the pressure has to be high (~80 bar) [10]. PTCs efficiency can be improved by enhancements in tracker [11], geometry [12], absorber coatings [13] and working fluid [14][15][16][17][18][19][20]. Also, to increase the thermal behavior of PTC, phase change material storage [21,22] could be used to save the energy in peak hours a day.…”