Effect of power-law fluid behavior on momentum and heat transfer characteristics of an inclined square cylinder in steady flow regime

Rao, P. Koteswara; Sasmal, C.; Sahu, Akhilesh K.; Chhabra, R.P.; Eswaran, V.

doi:10.1016/j.ijheatmasstransfer.2011.03.013

Cited by 29 publications

(3 citation statements)

References 61 publications

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“…In Figure 10, the variation of

C_{P}

plotted for the case ϕ = 0.01, at Re = 1 and Da = 10 −6 , the maximum value of

C_{P}

occurred on front stagnation point‐a, and then the value of

C_{P}

reaches to the corner point‐b after that suddenly drop to the negative value of

C_{P}

, and then again increases to the maximum value of

C_{P}

up to the rear point‐c. The variation trend of

C_{P}

at Da = 10 −6 is consistent with the variation of

C_{P}

on the 45° inclined solid square cylinder 25,32 . As the value of Da increases such as Da = 10 −4 , Da = 10 −3 and Da = 10 −2 , ultimately increasing the permeability of cylinder and more fluids passing through the cylinder, the variation of

C_{P}

is found to be decreasing, especially near the corner point‐b.…”

Section: Resultssupporting

confidence: 74%

“…The variation trend of C P at Da = 10 À6 is consistent with the variation of C P on the 45 inclined solid square cylinder. 25,32 As the value of Da increases such as Da = 10 À4 , Da = 10 À3 and Da = 10 À2 , ultimately increasing the permeability of cylinder and more fluids passing through the cylinder, the variation of C P is found to be decreasing, especially near the corner point-b. As the Reynolds number increases, Re = 10, significantly increasing the value of inertial strength, which thereby decreasing the strength of the pressure coefficient.…”

Section: Pressure Coefficientmentioning

confidence: 97%

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Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Kaur,

Ratan,

Melnik

et al. 2024

Asia-Pacific J Chem Eng

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Various engineering applications commonly involve the flow of nanofluids over a porous 45° inclined square cylinder. Therefore, the current study is to assess the impact of the Darcy parameter (Da), nanoparticle volume fraction (ϕ), and Reynolds number (Re) on the momentum transport characteristics over the 45° inclined porous square cylinder. The governing equations were solved numerically using the Darcy–Brinkman–Forchheimer model for different values of Da (), nanoparticle volume fraction ϕ (), and Reynolds number Re (). The results for each parameter were visualized using streamline plots, velocity profiles within the porous cylinder, and vorticity contours. Complex flow behaviors were observed between Da = 10−3–10−2, flow separation detached and disappeared at the cylinder's downstream side at critical Darcy number. Drag and pressure coefficents are used to represent the global and local parameter of the flow fields. The pressure coefficient on the surface of the cylinder showed an inverse relationship with the nanoparticles volume fraction and Darcy number. The strength of the drag coefficient decreased with the addition of nanoparticles to the base fluid, with a decreasing trend observed for Da = 10−4–10−2 and no change observed for Da = 10−6–10−4. At last, the comparative analysis has been conducted between a porous square cylinder at 0° inclined and another 45° inclined.

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“…In Figure 10, the variation of

C_{P}

plotted for the case ϕ = 0.01, at Re = 1 and Da = 10 −6 , the maximum value of

C_{P}

occurred on front stagnation point‐a, and then the value of

C_{P}

reaches to the corner point‐b after that suddenly drop to the negative value of

C_{P}

, and then again increases to the maximum value of

C_{P}

up to the rear point‐c. The variation trend of

C_{P}

at Da = 10 −6 is consistent with the variation of

C_{P}

C_{P}

is found to be decreasing, especially near the corner point‐b.…”

Section: Resultssupporting

confidence: 74%

Section: Pressure Coefficientmentioning

confidence: 97%

Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Kaur,

Ratan,

Melnik

et al. 2024

Asia-Pacific J Chem Eng

View full text Add to dashboard Cite

show abstract

“…There are many classic papers published for Newtonian fluids external flows, for example, the works of Zukauskas [1] and Zhang and Samtaney [2]. There are also some studies of these types of flows that consider non-Newtonian fluids and investigate the influence of rheological parameters on the flow dynamics (Bharti et al [3], Thakur et al [4], Rao et al [5], among others).…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of the Effect of Reynolds Number and Aspect Ratio in Heat Transfer from Elliptical Tubes to Viscoplastic Fluids Employing Constructal Design

Hermany

Klein

Zinani

et al. 2017

DDF

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The present work aims to obtain geometries that ease the heat transfer from elliptical section tubes to cross flow of viscoplastic fluids. The Construtal Design method is applied to obtain aspect ratios between the axes of the elliptic sections that maximize the Nusselt number. The tubes elliptical section area is fixed, but the aspect ratio between their axes is free to change in order to optimize this geometry for different Reynolds numbers (Re). The viscoplastic fluid behavior is modeled using the Herschel-Bulkley constitutive equation for the viscosity function. The governing differential equations are solved numerically by the finite volume method. The values of the dimensionless numbers, Prandtl (Pr), modified Bingham (Bn*) and flow index (n), were kept constant and equal to 1, 1 and 0.4, respectively. The Reynolds number was varied from 1 to 40. The results obtained show that increasing the number of Reynolds results in a greater heat transfer. In addition, the optimal aspect ratio is smaller the greater the Reynolds number is. It was found that, as the aspect ratio grows, heat transfer increases due to flow acceleration, but also decreases due to the low strain rate zone downstream the tube, which possesses recirculation and unyielded material. The balance between these effects gives the optimum point.

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Power‐law flow and heat transfer over an inclined square bluff body: effect of blockage ratio

Kumar

Dhiman

Bharti

2013

Heat Trans. Asian Res.

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Flow and heat transfer of non‐Newtonian power‐law fluids over an inclined square cylinder placed inside a channel are studied numerically at low Reynolds numbers. In particular, calculations are carried out for Reynolds number (Re) = 1–40; power‐law index (n) = 0.4–1 and blockage ratio (β) = 12.5–50% at a Prandtl number (Pr) = 50. An increase in blockage ratio results in an increase in the total drag coefficient and decrease in the wake length. The Strouhal number and the root mean square value of the lift coefficient increase with the increasing Reynolds number for the fixed values of blockage ratio and power‐law index. The average Nusselt number increases with power‐law index and/or blockage ratio. The maximum enhancement in heat transfer is approximately 49, 41, and 35% for the values of blockages of 50, 25, and 12.5%, respectively, as compared to the corresponding Newtonian value. The average Nusselt number for the inclined square cylinder (at α = 45°) is always greater than the average Nusselt number for the regular square cylinder (at α = 0). Finally, simple expressions of drag and Nusselt number have been established for the above range of settings. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res 43(2): 167‐196, 2014; Published online 20 June 2013 in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21071

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Effect of power-law fluid behavior on momentum and heat transfer characteristics of an inclined square cylinder in steady flow regime

Cited by 29 publications

References 61 publications

Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Hydrodynamic analysis of nanofluids flow over 45° inclined porous square cylinder using Darcy–Brinkman–Forchheimer model

Numerical Study of the Effect of Reynolds Number and Aspect Ratio in Heat Transfer from Elliptical Tubes to Viscoplastic Fluids Employing Constructal Design

Power‐law flow and heat transfer over an inclined square bluff body: effect of blockage ratio

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