Semi-analytical Investigation of Momentum and Heat Transfer of a Non-Newtonian Fluid Flow for Specific Turbine Cooling Application Using AGM

Mirgolbabaee, Hadi; Ledari, Soheil Tahernejad; Sheikholeslami, M.; Ganji, D.D.

doi:10.1007/s40819-017-0416-3

Cited by 10 publications

(4 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, it is assumed that steady non-Newtonian flow through the disc is axisymmetric with the two-dimensional view. With respect to the above, the mass and thermal transfer analyses are given by Mirgolbabee et al 47 as Continuity equation:…”

Section: Model Development and Formulationmentioning

confidence: 99%

“…In the efforts to investigate, analyze and study the mechanics of the non-Newtonian flow transport and thermal transfer numerical and analytical methods have been adopted as suitable methods of analysis by researchers over the years. 31,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] These methods of analysis include the differential transform method, Akbari-Ganji method, Adomian decomposition method, method of weighted residuals (Garlerkin, collocation, and least squares), homotopy analysis methods, and variation of parameter method among others. The methods listed reveal errors due to round off, guess term or initial term dependence, strong dependence on the parameter of perturbation and weak nonlinearity.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Thermal performance analysis of non‐Newtonian fluid transport through turbine discs

et al. 2021

View full text Add to dashboard Cite

In this paper, the analytical investigation of non-Newtonian fluid flow through a turbine disc with a heat generation effect is considered. The flow mechanics through the turbine disc is modeled using a coupled system of higher-order partial equations, which are transformed into ordinary order utilizing proper similarity transforms. Governing models are analyzed using the variation iteration and homotopy perturbation analytical methods. As observed from the results, the study shows enhancement of heat generation for non-Newtonian fluid flow through turbine disc, reveals abating thermal distribution. More so, the graphical expression shows that heat generation improves up till mid-disc. Thereafter, an increasing trend toward the fluid injection surface is observed. Validation of analytical solutions with numerical analysis boosts confidence in this study, which may be used to provide further insights into the engineering science of non-Newtonian flow of hydraulic/lube oil in practical applications, such as hydraulic couplings.

show abstract

Section: Model Development and Formulationmentioning

confidence: 99%

mentioning

confidence: 99%

Thermal performance analysis of non‐Newtonian fluid transport through turbine discs

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Comparing their results with Runge-Kutta of order four (RK-4th), they obtained a good agreement, a result that confirms the ability of this method to solve such problems. Mirgolbabaee et al [2] applied the Akbari-Ganji's method to solve the non-Newtonian fluid flow in an axisymmetric channel with a permeable wall in a specified turbine refrigeration application. Results were compared with RK-4th since conclusions are not based only on the precision of a solution but also the simplicity of the proceedings and an excellent agreement was acquired.…”

Section: Introductionmentioning

confidence: 99%

Yang transform–homotopy perturbation method for solving a non‐Newtonian viscoelastic fluid flow on the turbine disk

Al‐Griffi

Al‐Saif

2022

Z Angew Math Mech

View full text Add to dashboard Cite

In this paper, a new method is suggested and implemented to find an analytical approximate solution for a non‐Newtonian viscoelastic fluid flow on the turbine disk, used to cool the axisymmetric channel that has a porous wall. The new method depends on combining the algorithms of Yang transform and the homotopy perturbation method (HPM) named Yang transformation–homotopy perturbation method (YTHPM). To ensure the correctness of the method, we compared the results of YTHPM with the ones obtained by the numerical method (Runge–Kutta 4th order) and by other methods as reported in the literature; a good agreement was observed. Additionally, the effect of the power‐law index, Prandtl and Reynolds numbers on the velocity, and heat transfer was studied. The results that we obtained by using the new method confirm that this method has high accuracy and efficiency compared with other methods, used to find the analytical approximate solution for the current problem. Furthermore, the graphs and tables of error show the validity, utility, and necessity of this method.

show abstract

“…Dogonchi and Ganji (2017) investigated the effects of heat and mass transfer on the magnetohydrodynamic nanofluid flow between two non-parallel plates using Duan-Rach method. Mirgolbabaee, Ledari, Sheikholeslami and Ganji (2017) studied the effect of heat transfer on the non-Newtonian fluid flow in a channel using Runge-Kutta and Akbari-Ganji’s methods. Bhatti and Zeeshan (2017) examined the effects of heat and mass transfer on particle-fluid suspension due to peristaltic motion.…”

Section: Introductionmentioning

confidence: 99%

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

Ramesh

Eytoo

2019

MMMS

View full text Add to dashboard Cite

Purpose The purpose of this paper is to investigate the three fundamental flows (namely, both the plates moving in opposite directions, the lower plate is moving and other is at rest, and both the plates moving in the direction of flow) of the Ree-Eyring fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the intention of the study is to examine the effect of different physical parameters on the fluid flow. Design/methodology/approach The mathematical modeling is performed on the basis of law of conservation of mass, momentum and energy equation. The modeling of the present problem is considered in Cartesian coordinate system. The governing equations are non-dimensionalized using appropriate dimensionless quantities in all the mentioned cases. The closed-form solutions are presented for the velocity and temperature profiles. Findings The graphical results are presented for the velocity and temperature distributions with the pertinent parameters of interest. It is observed from the present results that the velocity is a decreasing function of Hartmann number. Temperature increases with the increase of Ree-Eyring fluid parameter, radiation parameter and temperature slip parameter. Originality/value First time in the literature, the authors obtained closed-form solutions for the fundamental flows of Ree-Erying fluid between infinitely parallel plates with the effects of magnetic field, porous medium, heat transfer, radiation and slip boundary conditions. Moreover, the results of this paper are new and original.

show abstract

Semi-analytical Investigation of Momentum and Heat Transfer of a Non-Newtonian Fluid Flow for Specific Turbine Cooling Application Using AGM

Cited by 10 publications

References 32 publications

Thermal performance analysis of non‐Newtonian fluid transport through turbine discs

Thermal performance analysis of non‐Newtonian fluid transport through turbine discs

Yang transform–homotopy perturbation method for solving a non‐Newtonian viscoelastic fluid flow on the turbine disk

Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions

Contact Info

Product

Resources

About