Development length of sinusoidally pulsating laminar pipe flows in moderate and high Reynolds number regimes

Ray, Subhashis; Ünsal, Bülent; Durst, F.

doi:10.1016/j.ijheatfluidflow.2012.06.001

Cited by 27 publications

(10 citation statements)

References 35 publications

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“…Phase-lag increases with increase in frequency and hydraulic diameter of the tube/duct, but decreases with increase in viscosity and remained unaffected by the applied pulsation amplitude. Ray et al [8], carried out extensive numerical simulations and obtained a correlation to predict the development length for laminar, developing flow through pipes under sinusoidally varying mass flow rate. Computations were done for moderate to high mean flow Reynolds number region (100 Re av 2000), dimensionless amplitude of mass flow rate pulsations of 0.2, 0.4 and 0.8 (i.e.…”

Section: Introductionmentioning

confidence: 99%

Local experimental heat transfer of single-phase pulsating laminar flow in a square mini-channel

Mehta

Khandekar

2015

International Journal of Thermal Sciences

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Section: Introductionmentioning

confidence: 99%

Local experimental heat transfer of single-phase pulsating laminar flow in a square mini-channel

Mehta

Khandekar

2015

International Journal of Thermal Sciences

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“…Ray et al. 21 carried out a numerical investigation to study the development length of the pulsating laminar pipes flows for 100 < Re < 2000, whereas the dimensionless pulsation frequency varied from the 0.1 to the 20, and proposed a correlation for evaluation of the maximum entrance length during a cycle. They described that only numerical simulations can provide sufficiently accurate results for the development length of any type of channel flows.…”

Section: Introductionmentioning

confidence: 99%

Entrance length of oscillatory flows in parallel plate microchannels

Shajari

Abbasi

Jamei

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents the numerical investigation of the purely oscillatory laminar flows of incompressible Newtonian fluids, in the entrance region of parallel plate microchannels. Development of the axial velocity profiles and the required entrance length were studied in the low Reynolds number regime (20[Formula: see text] 200) and for the low dimensionless oscillation frequency or the Stokes number (1.08 [Formula: see text] 2.80), which is applicable particularly for microchannel flows. To obtain more realistic and applicable results, the time-dependent parabolic entry conditions were considered for all simulations. The results show that for ([Formula: see text]1.53), the entrance length can be estimated by the steady-state results for corresponding inlet velocity profiles, while for the (1.53 [Formula: see text] 2.80), the deviation from the steady-state condition occurs for the entrance length. Further, according to the obtained numerical data, in this work, a useful correlation is proposed to predict the entrance length for the studied ranges of the purely oscillatory flows through the parallel plate microchannels.

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“…According to the above discussion, although a number of mathematical expressions for estimating the development length in channel flows without MHD effects have been existed in the literature [25,27,28,[41][42][43], but very little work has been done to present the closed-form correlation for predicting the MHD development length in MHD channel flows.…”

Section: Introductionmentioning

confidence: 99%

The influence of magnetic field on the fluid flow in the entrance region of channels: analytical/numerical solution

Taheri

2019

SN Appl. Sci.

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The present paper investigates the steady laminar development flow of a Newtonian incompressible electrically conducting fluid in a plane channel subjected to a uniform transverse external magnetic field. In order to solve the problem, the analytical integral momentum method and numerical finite volume method (FVM) are conducted. In integral momentum solution, the Pohlhausen's fourth-degree velocity profile is assumed. Applying the boundary conditions leads to the appearance of a new dimensionless parameter named auxiliary parameter (AP). It is shown that the value of AP depends on the magnitude of magnetic intensity and the pressure gradient. For each specified value of AP, distinct velocity distribution and as a result, a correlation for computing the magnetic development length is obtained. Besides, the FVM is applied to solve the same problem and the correlation for estimating the magnetic development length is obtained. It can be concluded that for a particular engineering application of magnetohydrodynamics channel flows, the associated value of AP can be determined by the numerical investigation. The results of numerical solution are compared with the analytical results and it can be concluded that the results for AP = − 6 are in agreement with the numerical results. Further, the effect of Hartmann and Reynolds number on the magnetic development length and Lorentz force are illustrated. It was shown that as the Hartmann number increases, the value of development length and Lorentz force are reduced. KeywordsChannel · Integral momentum method · Magnetic development length · Magnetohydrodynamics · Numerical method List of symbols a Half width of channel (m) AP Auxiliary parameter B 0 External magnetic field (T) Ha Hartmann number P Pressure (Pa) Re Reynolds number u x-Component of the velocity (m/s) U Inlet velocity (m/s) u c Potential core velocity (m/s) v y-Component of the velocity (m/s) x Coordinate in the direction of flow (m) x em /D Dimensionless MHD development length y Coordinate in the direction normal to flow (m) ρ Density (kg/m 3 ) σ Electrical conductivity (Ω m) −1 δ Boundary layer thickness (m) υ Kinematic viscosity (m/s 2 ) η Arbitrary variable

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Development length of sinusoidally pulsating laminar pipe flows in moderate and high Reynolds number regimes

Cited by 27 publications

References 35 publications

Local experimental heat transfer of single-phase pulsating laminar flow in a square mini-channel

Local experimental heat transfer of single-phase pulsating laminar flow in a square mini-channel

Entrance length of oscillatory flows in parallel plate microchannels

The influence of magnetic field on the fluid flow in the entrance region of channels: analytical/numerical solution

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