Numerical analysis of natural convection for non-Newtonian fluid conveying nanoparticles between two vertical parallel plates

Sahebi, S. A. R.; Pourziaei, Hadi Araban; Feizi, Atabak; Taheri, Mohammad Hasan; Rostamiyan, Yasser; Ganji, D.D.

doi:10.1140/epjp/i2015-15238-6

Cited by 26 publications

(15 citation statements)

References 30 publications

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“…LSM is one of the approximation techniques for solving differential equations named the method of residual weight. The mathematical and theoretical detail of LSM is elaborated in [14,15]. The main concept of this method is approximating a trail function in a way that the boundary conditions are satisfied.…”

Section: Solution Proceduresmentioning

confidence: 99%

Heat transfer investigation of the fourth-grade non-Newtonian MHD fluid flow in a plane duct considering the viscous dissipation, joule heating and forced convection on the walls

et al. 2020

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The present study aims to investigate the heat transfer of the fourth-grade non-Newtonian MHD fluid flow in a plane duct analytically. The applied angular magnetic field is exerted on the channel walls and fluid flow. The effects of the viscous dissipation and joule heating, as well as forced convection heat transfer boundary conditions on the duct walls, are considered. The governing equations including momentum and energy are transformed into dimensionless forms; afterward, solved using the analytical method. As a novelty, the full energy equation is solved using the least squared method and the results are validated by the numerical 4th order Runge-Kutta (RK4) method. The results revealed since the Hartmann number increases, the bulk temperature inside the duct reduces about 20%, and the absolute value of the heat transfer rate on the duct wall decreases by about 40%. Besides, it was observed as the magnetic field angle reduces, the dimensionless temperature and absolute value of the temperature gradient decrease between 30 and 40%. When the Eckert number and Prandtl number decrease, the dimensionless temperature distribution becomes flattened; likewise, the heat transfer rate is reducing on the duct wall more than tripled. The increase of Biot number leads to a reduction of the dimensionless temperature inside the channel about three-time; however, the heat transfer rate increases first and then declines. Keywords Angular magnetic field • Duct • Fourth-grade non-Newtonian • LSM List of symbols B Magnetic field (T) B 0 Applied magnetic field (t) Bi Biot number c p Specific heat (J/kg k) Ec EcEckert number g Gravity acceleration (m/s2) D Duct width (m)) heff Effective heat transfer coefficient (W/m2 k) Ha Hartmann number) k Thermal conductivity coefficient (W/m k) p Pressure (Pa) Pr Prandtl number)

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Section: Solution Proceduresmentioning

confidence: 99%

Heat transfer investigation of the fourth-grade non-Newtonian MHD fluid flow in a plane duct considering the viscous dissipation, joule heating and forced convection on the walls

et al. 2020

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“…And the differences between theoretical and experimental results have been observed in recent years. Khadangi Mahrood, et al [129,130] carried out an experi- mental study on the natural convection heat transfer of nanofluids in a vertical cylinder which is uniformly heated from the bottom and cooled from the top surfaces. They prepared two types of non-Newtonian nanofluids by dispersing Al 2 O 3 and TiO 2 nanoparticles in a 0.5 wt.% aqueous solution of carboxymethyl cellulose (CMC), respectively.…”

Section: Influence Of Nanoparticle Typementioning

confidence: 99%

A comprehensive review on heat transfer characteristics of TiO2 nanofluids

Yang

2017

International Journal of Heat and Mass Transfer

128

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“…The study through heat transfer by natural convection is an interesting and hot issue in recent years. This interest can be attributed due to its wide range of applications in chemical catalytic reactors, fiber and granular insulation, packed beds, geothermal systems, petroleum reservoirs, heat exchangers and nuclear waste repositories (see for example [14][15][16][17] and the references therein). Also, a very common industrial application of natural convection is free air cooling without the aid of fans such as cooling towers and computer chips [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…Ziabakhsh and Domairy [21] solved the same problem by homotopy analysis method. Also, least square and differential transformation method (DTM) [14], weighted residual methods [17] and Galerkin method based on the interpolating scaling functions [16] are used to solve this type of flow. Also, we refer the interested reader to [22,23].…”

Section: Introductionmentioning

confidence: 99%

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Sinc-collocation method for solving sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates

Saadatmandi

Shateri

2019

J Braz. Soc. Mech. Sci. Eng.

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This paper seeks to develop an efficient method for solving natural convection of a non-Newtonian nanofluid flow between two vertical flat plates. Sodium alginate is considered as the non-Newtonian fluid, and then two distinct types of nanoparticles, namely silver and copper, are added to it. To do so, the governing boundary layer and temperature equations are reduced to a set of ordinary differential equations. This approach is based on a global collocation method using Sinc basis functions, and the resulting set of ordinary differential equations are replaced by a system of algebraic equations. It is well known that the Sinc procedure converges to the solution at an exponential rate. Numerical results are included to demonstrate the validity and applicability of the method, and a comparison is made with the existing results. Also, the effect of various parameters such as Prandtl number (Pr), dimensionless non-Newtonian viscosity number () and nanoparticle volume fraction () on non-dimensional velocity and temperature profiles are discussed. It was concluded from this study that velocity and temperature increased with increasing Pr. Moreover, our results indicate that both the velocity and temperature decrease as increases. Finally, the results demonstrated that, when increases, the velocity increases but the temperature values decrease. Keywords Natural convection • Sinc-collocation • Non-Newtonian fluid • Nanoparticles List of symbols 2b Distance between the plates (m) C p Specific heat at constant pressure (J kg K −1) Ec Eckert number k Thermal conductivity (W m −1 K −1) Pr Prandtl number T Temperature (K) Greek symbols Dynamic viscosity (N s m −2) Density (kg m −3) Dimensionless temperature Solid volume fraction Dimensionless non-Newtonian viscosity Subscripts f Pure fluid s Nanoparticle nf Nanofluid

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Numerical analysis of natural convection for non-Newtonian fluid conveying nanoparticles between two vertical parallel plates

Cited by 26 publications

References 30 publications

Heat transfer investigation of the fourth-grade non-Newtonian MHD fluid flow in a plane duct considering the viscous dissipation, joule heating and forced convection on the walls

Heat transfer investigation of the fourth-grade non-Newtonian MHD fluid flow in a plane duct considering the viscous dissipation, joule heating and forced convection on the walls

A comprehensive review on heat transfer characteristics of TiO2 nanofluids

Sinc-collocation method for solving sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates

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