Mixed convection on a vertical plate in supercritical fluids by selecting the best equation of state

Khonakdar, Danyal Rezaei; Raveshi, Mohammad Reza

doi:10.1016/j.supflu.2015.07.013

Cited by 15 publications

(8 citation statements)

References 24 publications

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“…Also, they shown that, the applicability of Boussinesq's approximation in SCF region and based on RK-EOS, they derived the suitable equation for b. The same problem was continued by Khonakdar and Raveshi [31] by considering the mixed convection case. Their investigation presents that, RK-EOS model was the suitable model to study the thermodynamic behavior of fluids in supercritical region when compared to other EOS models.…”

Section: Introductionmentioning

confidence: 92%

“…From the available literature [30,31] it is observed that, the assumption of constant values for thermal expansion coefficient in SCF region gives rise to incorrect results. Thus, in order to overcome this difficulty, authors have taken the aid of EOS approach namely RK-EOS and VW-EOS.…”

Section: Equation Of State Approachmentioning

confidence: 99%

“…According to authors' knowledge, this particular problem is not yet reported in the literature mainly due to the complexity of such unsteady state supercritical flow in terms of obtaining governing equation and performing numerical simulation. Also, we have extensively presented non-dimensional graphs in the present study in three regions namely subcritical, supercritical and near critical regions whereas most of the available literature [30,31] deals with steady-state and give less importance to the non-dimensional graphs. It is to be noted that most of the practical applications under supercritical condition behave as unsteady state problem so it is vital to understand heat transfer to such systems.…”

Section: Introductionmentioning

confidence: 99%

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A numerical study of natural convection properties of supercritical water (H2O) using Redlich–Kwong equation of state

2019

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In this article, the Crank-Nicolson implicit finite difference method is utilized to obtain the numerical solutions of highly nonlinear coupled partial differential equations (PDEs) for the flow of supercritical fluid (SCF) over a vertical flat plate. Based on the equation of state (EOS) approach, suitable equations are derived to calculate the thermal expansion coefficient (b) values. Redlich-Kwong equation of state (RK-EOS), Peng-Robinson equation of state (PR-EOS), Van der Waals equation of state (VW-EOS) and Virial equation of state (Virial-EOS) are used in this study to evaluate b values. The calculated values of b based on RK-EOS is closer to the experimental values, which shows the greater accuracy of the RK-EOS over PR-EOS, VW-EOS and Virial-EOS models. Numerical simulations are performed for H 2 O in three regions namely subcritical, supercritical and near critical regions. The unsteady velocity, temperature, average heat and momentum transport coefficients for different values of reduced pressure and reduced temperature are discussed based on the numerical results and are shown graphically across the boundary layer.

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Section: Introductionmentioning

confidence: 92%

Section: Equation Of State Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A numerical study of natural convection properties of supercritical water (H2O) using Redlich–Kwong equation of state

2019

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“…Further, Teymourtash et al [39] improved this model by considering both the Redlich-Kwong equation of state (RK-EOS) along with VW-EOS and showed the viability of Boussinesq's approximation to supercritical fluids. However, Khonakdar and Raveshi [40] proved that, among the available equation of states, RK-EOS is a more appropriate and accurate model to evaluate the thermodynamic properties of different fluids in SCF region. Recently…”

mentioning

confidence: 99%

“…3 and 4. Moreover, to draw the curve for a perfect gas, we have used the equation = 1 ′ as provided in the literature[39][40][41][42]65]. Additionally, from these figures it is observed that, in case of liquids at low pressure, is enhanced with increasing temperature values.…”

mentioning

confidence: 99%

Supercritical heat transfer characteristics of couple stress convection flow from a vertical cylinder using an equation of state approach

Basha

Reddy

Narayanan

et al. 2019

Journal of Molecular Liquids

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S u p e r c ri tic al h e a t t r a n sf e r c h a r a c t e ri s tic s of c o u pl e s t r e s s c o nv e c tio n flo w fro m a v e r ti c al cyli n d e r u si n g a n e q u a tio n of s t a t e a p p r o a c h B a s h a , H , R e d dy, GJ, N a r a y a n a n , N SV a n d B e g, OA h t t p:// dx. doi.o r g/ 1 0. 1 0 1 6/j. m olliq. 2 0 1 8. 1 1. 1 6 5Ti t l e S u p e r c ri tic al h e a t t r a n sf e r c h a r a c t e ri s tic s of c o u pl e s t r e s s c o nv e c tio n flow fro m a v e r ti c al cylin d e r u si n g a n e q u a tio n of s t a t e a p p r o a c h A u t h o r s B a s h a , H , R e d dy, GJ, N a r a y a n a n, N SV a n d B e g, OA Typ eArticl e U RL This ve r sio n is a v ail a bl e a t : h t ABSTRACTThe present work describes numerical simulations of the supercritical heat transfer characteristics of couple stress fluid flow from a vertical cylinder using the equation of state approach. Redlich-Kwong (RK-EOS) and Van der Waals (VW-EOS) equations of state (EOS) are deployed to derive the equation for the thermal expansion coefficient ( ). The values calculated based on RK-EOS are sufficiently close to the experimental values when compared with those based on VW-EOS. Due to the presence of couple stresses in the fluid, highly nonlinear coupled partial differential equations are generated. These primitive equations are reduced to dimensionless form by using suitable non-dimensional quantities. An unconditionally stable finite difference technique is used to solve the normalized conservation equations under physically viable boundary conditions, in order to describe the natural convection heat transfer characteristics of couple stress fluid external to a vertical cylinder in the supercritical region. For different values of the emerging physical parameters, numerical data for couple stress fluid for the case of Nitrogen is generated and presented in the form of graphs and tables. The present computations indicate that the velocity field is suppressed close to the cylinder whereas it is enhanced away from the cylinder with increasing values of reduced temperature in the supercritical fluid region. The reverse behavior is observed for reduced pressure. The present results are compared with the previous results and found to be in good agreement. Applications of the model include super-critical coating dynamics in the aerospace and medical industries.

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The effect of thermal expansion coefficient on unsteady non-Newtonian supercritical Casson fluid flow past a vertical cylinder

et al. 2019

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Mixed convection on a vertical plate in supercritical fluids by selecting the best equation of state

Cited by 15 publications

References 24 publications

A numerical study of natural convection properties of supercritical water (H2O) using Redlich–Kwong equation of state

A numerical study of natural convection properties of supercritical water (H2O) using Redlich–Kwong equation of state

Supercritical heat transfer characteristics of couple stress convection flow from a vertical cylinder using an equation of state approach

The effect of thermal expansion coefficient on unsteady non-Newtonian supercritical Casson fluid flow past a vertical cylinder

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