Thermal Marangoni Flow Past a Permeable Stretching/Shrinking Sheet in a Hybrid Cu-Al2O3/Water Nanofluid

Abstract

The present study accentuates the Marangoni convection flow and heat transfer characteristics of a hybrid Cu-Al 2 O 3 / water nanofluid past a stretching/shrinking sheet. The presence of surface tension due to an imposed temperature gradient at the wall surface induces the thermal Marangoni convection. A suitable transformation is employed to convert the boundary layer flow and energy equations into a nonlinear set of ordinary (similarity) differential equations. The bvp4c solver in MATLAB software is utilized to solve the transformed system. The change in velocity and temperature, as well as the Nusselt number with the accretion of the dimensionless Marangoni, nanoparticles volume fraction and suction parameters, are discussed and manifested in the graph forms. The presence of two solutions for both stretching and shrinking flow cases are noticeable with the imposition of wall mass suction parameter. The adoption of stability analysis proves that the first solution is the real solution. Meanwhile, the heat transfer rate significantly augments with an upsurge of the Cu volume fraction (shrinking flow case) and Marangoni parameter (stretching flow case). Both Marangoni and Cu volume fraction parameters also can decelerate the boundary layer separation process.

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

“…Moreover, dual solutions of hybrid nanofluid flow were examined by Waini et al [34][35][36][37][38][39]. Other physical aspects have been considered by several authors [40][41][42][43][44][45][46][47][48][49] and review papers are also available [50][51][52][53][54][55].…”

Dusty hybrid nanofluid flow over a shrinking sheet with magnetic field effects

“…However, the imposition of the adequate suction could generate the non-unique solution. In this regards, there have been some studies in the literature reporting the problem of the flow over the shrinking sheet in a hybrid nanofluid such as Aladdin et al (2020), Anuar et al (2020), Khan et al (2020b), Khashi’ie et al (2020c, 2020d, 2020e), Waini et al (2020c, 2020d, 2020e, 2020f, 2021), Yashkun et al (2020), and Zainal et al (2020a, 2020b, 2020c). For further reading, the readers are encouraged to refer to the review papers on the hybrid nanofluids available in the literature (Sarkar et al , 2015; Babu et al , 2017; Huminic and Huminic, 2020; Yang et al , 2020).…”

Flow towards a Stagnation Region of a Vertical Plate in a Hybrid Nanofluid: Assisting and Opposing Flows

“…They observed that the heat transfer rate of the hybrid nanofluid is higher than that of the regular nanofluid. Moreover, the non-uniqueness of the solutions in the hybrid nanofluid flow was examined by Waini et al [21][22][23][24][25][26][27] Other physical aspects were considered by several authors [28][29][30][31][32][33][34][35]. Furthermore, the review papers can be found in [36][37][38][39][40][41].…”