Thermal entry flow of power-law fluid through ducts with homogeneous slippery wall(s) in the presence of viscous dissipation

Khan, Muhammad Waris Saeed; Ali, Nasir

doi:10.1016/j.icheatmasstransfer.2020.105041

Cited by 22 publications

(6 citation statements)

References 29 publications

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“…Results for temperature field, mean temperature and Nusselt number at both walls are displayed for various values of non-dimensional radius of curvature of the channel. Our mathematical analysis follows the procedure documented by Graetz [1], Lyche and Bird [17], and Ali and Khan [18][19][20][21]. It is important to mention that spectral methods have emerged as a powerful tool for solving linear and non-linear problems [22].…”

Section: Introductionmentioning

confidence: 99%

The Graetz-Nusselt problem for the curved channel using spectral collocation method

2021

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This paper investigates the Graetz-Nusselt problem for a curved channel. The solution of the energy equation for constant wall temperature boundary condition is developed via the separation of variable technique. The associated eigenvalue problem is handled numerically with the help of the spectral collocation method, and the Simpson’s 1/3 rule is employed to compute the coefficient of the solution series. The impact of curvature on temperature profile, mean temperature, and Nusselt numbers at both upper and lower walls of the curved channel is presented through tables and graphs and discussed in detail. The analysis reveals an attenuation in the net heat transfer rate through the channel with raising the curvature parameter. The local Nusselt number at the upper wall of the curved channel decreases while at the lower wall it follows an increasing trend with enhancing the channel curvature. In addition, the net heat transfer rate through the curved channel is significantly higher than its counterpart for a straight channel. It is believed that the availability of such a solution will be an important contribution in the field of biomedical sciences, engineering sciences and development of many industrial types of equipment.

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Section: Introductionmentioning

confidence: 99%

The Graetz-Nusselt problem for the curved channel using spectral collocation method

2021

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“…Such features are crucial for understanding the complicated hydrodynamics and vibration responses of practical engineering structures, such as marine drilling or production risers assembled with buoyancy modules. The effect of internal flow and heat transfer may also be considered for the riser pipe 36,37 .…”

Section: Introductionmentioning

confidence: 99%

On wake modulation and interaction features of a pair of dual-step circular cylinders in side-by-side arrangements

Yan

Srinil

2021

Physics of Fluids

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The proximity interference and the vortex dislocation are fundamental fluid dynamic features that determine a wake pattern of dual-step circular cylinders in a side-by-side arrangement.Each dual-step cylinder consists of two coaxial cylinders with different diameters. A complex wake modulation is expected due to an intrinsic interaction between the vortex shedding of the largerdiameter cylinder (LC) and the smaller-diameter cylinder (SC), and to the cross-wake interaction of side-by-side cylinders in a uniform flow. To understand the physics of fluid wake modulations, threedimensional direct numerical simulations of flow around a pair of dual-step circular cylinders in sideby-side arrangements are performed and investigated. Six simulation cases are presented with different combinations of diameter ratio (1.33-2.00), gap ratio (1.00-3.17), and Reynolds number (60-200) in a laminar flow regime, providing key insights into the two distinct LC-dominated and SC-governing wake modulation characteristics. For the LC-dominated wake modulation, the wake pattern of sideby-side cylinders is determined by the predominant vortex dynamics in the LC wake. For the SCgoverning wake modulation, the LC wake pattern becomes modulated and controlled by the SC wake through the connections of vortex tubes shed downstream of the two nonuniform cylinders. Owing to the proximity interference and vortex dislocation, these new evolutionary wake modulations result in distinct wake patterns, vortex structures, and associated hydrodynamic force features for the pair of side-by-side dual-step circular cylinders.

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“…The widely utilized Homotopy method (OHAM) is applied to obtain the solution, and it is determined that the Casson fluid and normalized slip both increase entropy generation. Some interesting studies related to non-Newtonian fluids [18][19][20][21][22][23], Graetz problem [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] gliding bacteria [39][40][41][42] and robust numerical approaches [43][44][45] are worthwhile to mention. Motivated by above mention studies, we aim to elaborate on the impact of axial conduction and viscous dissipation on the Graetz problem inside the tube using Casson viscoplastic fluid under imposed heat flux at the wall.…”

Section: Introductionmentioning

confidence: 99%

Thermal entry problem for a tube with prescribed heat flux condition using viscoplastic fluid: An extended Graetz problem for Casson fluid with axial conduction and viscous dissipation

Khan,

Asghar,

Shatanawi

et al. 2024

Z Angew Math Mech

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This study explores the impact of axial conduction and viscous dissipation on heat transfer inside a tube by employing the Casson fluid model. A semianalytical approach is employed to handle the considered problem. The application of the separation of variable technique converts the heat equation into a set of ordinary differential equations. A built‐in function bvp4c in Matlab is adopted for numerical solutions in terms of eigenvalues and eigenfunctions. The obtained results are thoroughly discussed through pictorial representations. The finding shows that the Peclet and Brinkman numbers could not be ignored where an accurate temperature is essential for the final product. The both Peclet numbers and Brinkman numbers have a strong influence on the entrance temperature profile of the tube. In addition, the viscoplastic parameter raises the local Nusselt number in developing and fully developed regions of the tube. This analysis may be helpful in the advancement of thermal devices that are used to diagnose many diseases.

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Thermal entry flow of power-law fluid through ducts with homogeneous slippery wall(s) in the presence of viscous dissipation

Cited by 22 publications

References 29 publications

The Graetz-Nusselt problem for the curved channel using spectral collocation method

The Graetz-Nusselt problem for the curved channel using spectral collocation method

On wake modulation and interaction features of a pair of dual-step circular cylinders in side-by-side arrangements

Thermal entry problem for a tube with prescribed heat flux condition using viscoplastic fluid: An extended Graetz problem for Casson fluid with axial conduction and viscous dissipation

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