A BEM formulation of two dimensional steady state heat conduction in exchanger tubes of arbitrary cross sections

Rana, Santosh; Jena, Amit

doi:10.1016/j.ijheatmasstransfer.2016.10.055

Cited by 14 publications

(4 citation statements)

References 31 publications

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“…Figures 14a,b are generated from ( 25) and (26). It is apparent that the centerline temperature is increased by the slip, which causes a lower heat transfer rates compared to the no slip flow case.…”

Section: Resultsmentioning

confidence: 99%

“…It was shown that the Nusselt numbers for a shear-thinning Ellis fluid are higher than their counterparts in a Newtonian fluid. Tubes of arbitrary varying cross-sections have also been the topic of several theoretical and numerical studies in recent research works, see, for instance, [25][26][27][28][29][30][31]. Recently, non-linear vibrations of a hyper-elastic tube were examined with different physical models to estimate the frequency of the non-linear vibrations [32].…”

Section: Introductionmentioning

confidence: 99%

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Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes

Türkyılmazoğlu

Duraihem

2023

Micromachines

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The main concern of this paper is to introduce some new tubular shapes whose cross-sections result from the imposition of Navier’s velocity slip at the surface. A new family of pipes induced by the slip mechanism is thus discovered. The family is shown to modify the traditional pipes with elliptical cross-sections in the absence of slip, and they partly resemble collapsible tubes. The velocity field through the new pipes is then analytically determined. Afterwards, the corresponding temperature field with a constant heat flux boundary is shown to be perturbed around the slip parameter, whose leading order is well known from the literature. The correction to this order is next evaluated analytically. The velocity and temperature fields are further discussed regarding such new shapes. More physical features, such as the wall shear stress, the centerline velocity, the slip velocity and the convective heat transfer are also studied in detail. From the solutions, it is observed that a circular pipe under the effect of a slip mechanism has the largest temperature and the lowest Nusselt number at the center of the modified pipe. The new pipes are thought to have engineering and practical value in the micromachining industry, besides offering new analytical solutions for the considered flow geometry.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Full Solutions to Flow and Heat Transfer from Slip-Induced Microtube Shapes

Türkyılmazoğlu

Duraihem

2023

Micromachines

View full text Add to dashboard Cite

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“…As shown in Fig. 1.2, the phenomenon of heat conduction [1][2][3] is prevalent in nature from daily life to engineering fields and from solid to liquid to gas [4,5] . In the engineering world, heat conduction plays a vital role during design and construction, such as machinery, architecture, hydraulic structure, aerospace, chemical industry and energy industry and so on.…”

Section: Publicationsmentioning

confidence: 99%

“…It can reduce the calculation and storage order of matrix-vector multiplication by using the series expansion of the singular kernel function. (2) Mapping the solutions between the local and global coordinate systems is designed for stress field computation of granular materials to avoid computing the non-symmetrical and dense matrix system for each particle, thereby improving computation efficiency.…”

Section: Research Scopementioning

confidence: 99%