Mathematical Model of Mixed Convection Boundary Layer Flow over a Horizontal Circular Cylinder Filled in a Jeffrey Fluid with Viscous Dissipation Effect

Abstract

This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless form using the appropriate non-dimensional variables are solved numerically through the Keller-box method. A comparative study is performed and authentication of the present results with documented outcomes from formerly published works is excellently achieved. Tabular and graphical representations of the numerical results are executed for the specified distributions, considering the mixed convection parameter, Jeffrey fluid parameters and the Prandtl and Eckert numbers. Interestingly, boundary layer separation for mixed convection parameter happens for some positive (assisting flow) and negative (opposing flow) values. Strong assisting flow means the cylinder is heated, which causes the delay in boundary layer separation, whereas strong opposing flow means the cylinder is cooled, which conveys the separation point close to the lower stagnation point. Contradictory behaviours of both Jeffrey fluid parameters are observed over the velocity and temperature profiles together with the skin friction coefficient and Nusselt number. The increase of the Prandtl number leads to the decrement of the temperature profile, while the increase of the Eckert number results in the slight increment of the skin friction coefficient and decrement of the Nusselt number. Both velocity and temperature profiles of Eckert number show no effects at the lower stagnation point of the cylinder.

Effects of Viscous Dissipation on Mixed Convection Boundary Layer Flow Past a Vertical Moving Plate in a Nanofluid

“…Viscous dissipation effect usually is appreciated on convection with large decelerations from high rotating speeds, high-velocity flow and also in highly viscous flow with moderate velocity [25]. The study of the viscous dissipation effect gained the attention of many researchers recently by Ashraf et al, [26], Zokri et al, [27], Mohamed et al, [28] and Sharada and Shankar [29]. To the best of our knowledge, the present problem is never been considered before, so the results obtained in this study are new.…”

Lower Stagnation Point Flow of Convectively Heated Horizontal Circular Cylinder in Jeffrey Nanofluid with Suction/Injection

“…Comparative values of − ′(0) with preceding publications for dissimilar values of when = = 0, = 1 and 2 → 0 (very small) − ′(0) Merkin [13] Nazar et al, [16] Rashad et al, [30] Zokri et al, [26]…”

“…A numerical method named Runge-Kutta Fehlberg method (RKF 45) encoded in Maple software is applied to obtain the solution for nonlinear ordinary differential Eq. 15 Table 2 demonstrates the comparison between the results generated through this endeavor and existing works by Merkin [13], Nazar et al, [16], Rashad et al, [30] and Zokri et al, [26] for dissimilar values of . The values are perceived to be in an outstanding agreement, hence validating the obtained graphical results as revealed later.…”

“…Here, the Carboxymethyl cellulose (CMC) water represents based fluid while copper signifies nanoparticles. The closely related existing publications were from Zokri et al, [26] and Mahat et al, [27].…”

“…Mohamed et al, [24] and Mohamed et al, [25] examined the viscous dissipation effect in the respective viscous and nanofluid model with constant wall temperature. Zokri et al, [26] implemented the Buongiorno model to investigate the Jeffrey nanofluid model with viscous dissipation effect. Very recently, Mahat et al, [27] adopted the Tiwari and Das model to examine the copper and Carboxymethyl cellulose (CMC) water in viscoelastic nanofluid model.…”