Diversified role of fuzzified particle concentration on Casson gold-blood nanofluid flow through an elongating sheet for different shape nanoparticles

Abstract

The theme of this work is to explore the impact of shape factor on magnetized Casson gold-blood nanofluid flow through elongated sheet using fuzzified volume fraction. The impact of Ohmic heating, convective heating and suction/injection on heat transfer rate, is incorporated. The existing ordinary differential equations (ODEs) are transformed into fuzzy differential equations by applying the α-cut technique of fuzzy numbers. The α-cut value ranges from 0 to 1, which determines the level of fuzziness in the TFNs. The results indicate that rise in the Casson parameter leads to a reduction in the boundary layer thickness and an augmentation of shear stress near the sheet. Additionally, among the nanoparticle shapes studied, cylindrical nanoparticles demonstrate the extreme thermal conductivity, followed by platelet and blade-shaped nanoparticles, all contributing to an improvement in the heat transfer rate. The present code is validated numerically with previous works and found in good agreement.

Keywords

• Casson nanofluid
• non-uniform heat sink/source
• stretching sheet
• convective heating
• fuzzy volume fraction
• fuzzy differential equations