Significance of Shape Factor in Heat Transfer Performance of Molybdenum-Disulfide Nanofluid in Multiple Flow Situations; A Comparative Fractional Study

Abstract

In this modern era, nanofluids are considered one of the advanced kinds of heat transferring fluids due to their enhanced thermal features. The present study is conducted to investigate that how the suspension of molybdenum-disulfide (MoS2) nanoparticles boosts the thermal performance of a Casson-type fluid. Sodium alginate (NaAlg) based nanofluid is contained inside a vertical channel of width d and it exhibits a flow due to the movement of the left wall. The walls are nested in a permeable medium, and a uniform magnetic field and radiation flux are also involved in determining flow patterns and thermal behavior of the nanofluid. Depending on velocity boundary conditions, the flow phenomenon is examined for three different situations. To evaluate the influence of shape factor, MoS2 nanoparticles of blade, cylinder, platelet, and brick shapes are considered. The mathematical modeling is performed in the form of non-integer order operators, and a double fractional analysis is carried out by separately solving Caputo-Fabrizio and Atangana-Baleanu operators based fractional models. The system of coupled PDEs is converted to ODEs by operating the Laplace transformation, and Zakian’s algorithm is applied to approximate the Laplace inversion numerically. The solutions of flow and energy equations are presented in terms of graphical illustrations and tables to discuss important physical aspects of the observed problem. Moreover, a detailed inspection on shear stress and Nusselt number is carried out to get a deep insight into skin friction and heat transfer mechanisms. It is analyzed that the suspension of MoS2 nanoparticles leads to ameliorating the heat transfer rate up to 9.5%. To serve the purpose of achieving maximum heat transfer rate and reduced skin friction, the Atangana-Baleanu operator based fractional model is more effective. Furthermore, it is perceived that velocity and energy functions of the nanofluid exhibit significant variations because of the different shapes of nanoparticles.

Fractional model of MHD blood flow in a cylindrical tube containing magnetic particles

“…In order to get the solutions for velocity field, Temperature field, and concentration profile, FHT and LT are utilized defined as under 48 , 49 : where is Bessel’s function of the first kind of order zero. are positive roots of equation .…”

Study on Shape Effect of MHD Radiative Ag-Water and CuO-Water Nanofluid Flow in a Semi-Porous Channel

“…The effect of nanoparticles' shapes on irreversibility analysis of nanofluid flow in a microchannel with individual effects of radiative heat flux, velocity slip, and convective heating were analyzed by Sindhu and Gireesha [13]. Asifa et al [14] investigated the significance of the shape factor in the heat transfer performance of molybdenum-disulfide nanofluid in multiple flow situations. The effects of nanoparticles' shape and size on the thermohydraulic performance of plate evaporators using hybrid nanofluids were studied by Bhattad and Sarkar [15].…”

Finite element analysis on the hydrothermal pattern of radiative natural convective nanofluid flow inside a square enclosure having nonuniform heated walls

“…Related studies are in References. [59][60][61][62][63] Therefore, it is perceived that a substantial number of studies have been completed to show the hydrothermal pattern of nanofluids or simple Newtonian liquid flow within a square chamber with bottom and top surfaces that are differentially heated. However, no such corresponding report or investigation is available for magnetized radiative ferrofluid flow when the lowermost and sidewall of the square chamber are both uniformly or nonuniformly heated, despite having several real applications as declared earlier.…”