The heat/mass transfer analogy for a backward facing step

Mittal, R. C.; Madanan, Umesh; Goldstein, R. J.

doi:10.1016/j.ijheatmasstransfer.2017.05.087

Cited by 20 publications

(5 citation statements)

References 17 publications

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“…Other studies [132][133][134][135][136][137][138][139][140][141] have demonstrated the applicability and the limitations of the analogy given by Eq. (28).…”

Section: Heat Momentum and Mass Transfer Analogy Methodsmentioning

confidence: 99%

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Heat transfer coefficient: a review of measurement techniques

Moreira

Colmanetti

Tibiriçá

2019

J Braz. Soc. Mech. Sci. Eng.

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Heat transfer coefficient is a basic parameter used in the calculation of convective heat transfer problems. Due to the importance of the experimental measurements for the development of convective heat transfer, this review identifies, classifies and describes the experimental methods used for the measurement of heat transfer coefficient. The methods were classified into five major groups: (1) direct method, (2) transient method, (3) Wilson method, (4) heat/momentum/mass transfer analogy method and (5) boundary layer thickness method. Their applications, limitations and the reported accuracy were evaluated in the context of new developments in temperature and heat flux measurement techniques. Finally, this review provides criteria for the selection of the most suitable technique for measurements of heat transfer coefficient according to the aspects of spatial resolution, geometric scale, intrusiveness, fluid type, response time and accuracy. Keywords Heat transfer coefficient • Temperature • Heat flux • Convection • Experimental measurements List of symbols 1D One-dimensional 2D Two-dimensional A Surface area (m 2) A e Outer tube surface area (m 2) A i Inner tube surface area (m 2) A s Surface area (m 2) C e Thermal resistances outside the tube and the tube wall (K/W) (constant) C i Constant C f Fanning friction factor (-), C f = s V 2 ∕2 c Constant (-) c p Specific heat capacity (J/kg K) c p,i Specific heat capacity at constant pressure (J/ kg K) d Diameter (m) d e Outer tube diameter (m) d i Inner tube diameter (m) D m Mass diffusivity (m 2 /s) f Darcy friction factor (-), f = 4 ⋅ C f * Cristiano Bigonha Tibiriçá

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“…Other studies [132][133][134][135][136][137][138][139][140][141] have demonstrated the applicability and the limitations of the analogy given by Eq. (28).…”

Section: Heat Momentum and Mass Transfer Analogy Methodsmentioning

confidence: 99%

“…Nu/Sh = (Pr/Sc) n / n = 1/3, Pr air = 0.71, Sc naph = 2.28 [139] Backward-facing step Heat-mass transfer/heat in air, naphthalene in air (sublimation)…”

Section: Heat Momentum and Mass Transfer Analogy Methodsmentioning

confidence: 99%

Heat transfer coefficient: a review of measurement techniques

Moreira

Colmanetti

Tibiriçá

2019

J Braz. Soc. Mech. Sci. Eng.

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“… The naphthalene sublimation technique has been applied for decades, and is still in use as attested by Refs. [2] , [3] , [4] , [5] , [6] , from years 2016 to 2017. In this respect, the data here presented may provide quantitative information on issues that are not normally addressed by traditional research articles.…”

Section: Specifications Tablementioning

confidence: 99%

Experimental data on transport coefficients for developing laminar flow in isosceles triangular ducts using the naphthalene sublimation technique

Parise

Saboya

2018

Data in Brief

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The data presented in this article are related to the research article entitled "Transport coefficients for developing laminar flow in isosceles triangular ducts" (Parise and Saboya, 1999) [1]. The article describes an experiment involving the determination of transport coefficients in the laminar entrance region of 30°, 45°, 60° and 90° isosceles triangular ducts. Data were obtained by application of the naphthalene sublimation technique in conjunction with the heat to mass transfer analogy. Experimental conditions (duct sides made of naphthalene and base made of metal) simulated developing velocity and temperature fields in an isosceles triangular duct with isothermal lateral walls and adiabatic base. The Reynolds number ranged from 100 to 1800 and the duct length to hydraulic diameter ratio, from 2 to 40. The experiment consisted of mounting a test section (triangular duct) with the lateral walls made of naphthalene. Air was forced past the test section and naphthalene walls were weighed prior and after each data run, providing the rate of mass transfer for given flow conditions. Raw data, for a total of 77 experimental runs, include: test section geometry, air flow and mass transfer conditions. Processed data comprise the relevant non-dimensional groups, namely: Reynolds, non-dimensional axial duct length and Sherwood numbers.

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“…Authors found heat transfer enhancement by the comparison of BFS heat transfer values of water and the mixture. Mittal et al [35] stress intrusion effects of flow measurement on heat transfer calculations of turbulent BFS heat transfer and propose an analogy between heat and mass transfer. Authors used naphthalene since they can measure the mass transfer without intrusion and then detected an analogy coefficient of 0.692.…”

Section: Introductionmentioning

confidence: 99%

Numerical Forced Convection Heat Transfer of Nanofluids over Back Facing Step and Through Heated Circular Grooves

Abdulkarim¹,

Eleiwi²,

Tahseen³

et al. 2021

MMEP

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Backward facing step arrangement is a classical case for fluid dynamics and heat transfer research. It is well characterized and therefore, used for benchmarking. However, ongoing studies reveal that the geometry also provide advantages in industry, especially in combustion and burners. This work utilizes computational fluid dynamics to investigate a specific laminar back facing step flow heat transfer case. Aluminium oxide nano particles are considered as an additive to water base fluid, forming nanofluid with different volumetric concentrations. Laminar flow passes a back facing step and encounters three circular grooves at bottom surface. All surfaces are adiabatic except the grooves. Constant surface temperature applies to the grooves. According to the simulation results, a separation bubble after back facing step and a reattachment point occur. Grooves alter expected wake due to physical and thermal interference. Investigation parameters are nano-particle concentration and Reynolds number. Reynolds number changes between 10 and 250. Nano particle volume fraction percentage changes between 2 and 6 percent. Sectional heating downstream of the step poses interesting heat flux in the presence of Aluminium oxide nano-particle concentrations. There is a pseudo-linear relationship between parameters and heat transfer. Combined effects of enhanced thermal conductivity and secondary flow structures are seen. As expected, thermal convection increases as flow velocity and nano-particle concentrations increase. Heat flux and accordingly Nusselt number are highly affected from Reynolds number since flow structure changes dramatically. Also, direct proportion is seen between nano-particle concentration and enhanced convection.

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The heat/mass transfer analogy for a backward facing step

Cited by 20 publications

References 17 publications

Heat transfer coefficient: a review of measurement techniques

Heat transfer coefficient: a review of measurement techniques

Experimental data on transport coefficients for developing laminar flow in isosceles triangular ducts using the naphthalene sublimation technique

Numerical Forced Convection Heat Transfer of Nanofluids over Back Facing Step and Through Heated Circular Grooves

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