Radiative hybrid nanofluid flow past a rotating permeable stretching/shrinking sheet

Abstract

<jats:sec> <jats:title content-type="abstract-subheading">Purpose</jats:title> <jats:p>This paper aims to discuss a stability analysis on Cu-Al<jats:sub>2</jats:sub>O<jats:sub>3</jats:sub>/water nanofluid having a radiation and suction impacts over a rotating stretching/shrinking sheet.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title> <jats:p>The partial differential equations are converted into nonlinear ordinary differential equations using similarity transformation and then being solved numerically using built in function in Matlab software (bvp4c). The effects of pertinent parameters on the temperature and velocity profiles together with local Nusselt number and skin friction are reported.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Findings</jats:title> <jats:p>Compared to previously published studies, the current work is noticed to be in good deal. The analysis further shows that the non-unique solutions exist for certain shrinking parameter values. Hence, a stability analysis is executed using a linear temporal stability analysis and concluded that the second solution is unstable, while the first solution is stable. The effect of suction parameter is observed to be significant in obtaining the solutions. The improvement of the local skin friction and the decrease of the local Nusselt number on the shrinking surface are observed with the increment of the copper nanoparticle volume fractions.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Originality/value</jats:title> <jats:p>The originality of current work is the numerical solutions and stability analysis of hybrid nanofluid in rotating flow. This work has also resulted in producing the non-unique solutions for the shrinking sheet, and a stability analysis has also been executed for this flow showing that the second solution is unstable, while the first solution is stable. This paper is therefore valuable for engineers and scientist to get acquainted with the properties of the flow, its behavior and the way to predict it. The authors admit that all the findings are original and were not published anywhere else.</jats:p> </jats:sec>

Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

“…They concluded that, as the rotational and radiation parameters increase, the temperature profile increases as well. After that, Anuar et al, [36] discussed a three-dimensional steady rotating and radiative flow across a stretching/shrinking surface involving hybrid nanofluid. They observed that the range of dual solutions was reduced as the value of the rotational parameter increases.…”

“…From the literature review on preceding studies, it is crucial to consider such a problem as three-dimensional flow as this setting allows more comprehensive and realistic applications in the real-world. Anuar et al, [36] have considered a three-dimensional hybrid nanofluid flow over rotating stretching/shrinking sheet with the effect of radiation but without paying the attention to the influence of MHD and Joule heating. Therefore, this current study extended the work of Anuar et al, [36] by including the effect of MHD and Joule heating via Tiwari-Das model (see Tiwari and Das [56]).…”

Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation

“…Waini et al [16] also reported that the presence of a huge volume fraction of copper intensifies the skin friction coefficient and the local Nusselt number. Many other recent interesting investigations towards hybrid nanofluid, focusing on alumina and copper as the hybrid nanoparticles, with various configurations of parameters, have also been revealed by Yashkun et al [17], Lund et al [18,19], Aladdin et al [20], Roşca et al [21], Khashi'ie et al [22][23][24][25], Roy and Pop [26], Zainal et al [27], Anuar et al [28], Gangadhar et al [29] and Wahid et al [30].…”

Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

“…This new kind of fluid, however, provides a great advance in heat conductivity, as proved by the work of Madhesh and Kalaiselvam [37], Tahat and Benim [38] and Devi and Devi [39]. A few researchers have undertaken mathematical investigations of the boundary layer flow of hybrid nanofluids on various surfaces such as in stretching/shrinking sheet [40][41][42], thin needle [43], curved surface [44] and Riga plate [45]. Ghadikolaei et al [46] studied the behavior of a hybrid nanofluid (Cu-Al 2 O 3 ) in a micropolar dusty fluid.…”

“…In addition, this study also comprises a novel attempt to discover the shrinking features of a dusty hybrid nanofluid. The existence of nonunique solutions is acknowledged in the literature [25,27,28,40,42,49]; hence, this paper focuses on obtaining a nonunique solution as well as performing a stability analysis thereof. It is expected that these findings will help engineers and researchers to understand the heat transfer mechanism in dusty hybrid nanofluids.…”