Heat transfer in Darcy-Forchheimer flow of tangent hyperbolic fluid over an inclined plate with Joule heating

Abstract The 3D flow of non-Newtonian nanoliquid flows past a bidirectional stretching sheet with heat transfer is investigated in the present study. It is assumed that viscosity of the liquid varies with temperature. Carreau non-Newtonain model, Tiwari and Das nanofluid model are used to formulate the problem. The impacts of Joule heating, nonlinear radiation and non-uniform (space and temperature dependent) heat source/sink are accounted. Al-Cu-CH3OH and Cu-CH3OH are considered as nanoliquids for the present study. The solution of the problem is attained by the application of shooting and R.K. numerical procedures. Graphical and tabular illustrations are incorporated with a view of understanding the influence of various physical parameters on the flow field. We eyed that using of Al-Cu alloy nanoparticles in the carrier liquid leads to superior heat transfer ability instead of using only Aluminum nanoparticles. Weissenberg number and viscosity parameter have inclination to exalt the thermal field.

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MHD mixed convective heat transfer flow about an inclined plate

Heat and Mass Transfer ◽

10.1007/s00231-009-0551-4 ◽

2009 ◽

Vol 46 (1) ◽

pp. 129-136 ◽

Cited By ~ 10

Author(s):

Orhan Aydın ◽

Ahmet Kaya

Keyword(s):

Heat Transfer ◽

Convective Heat Transfer ◽

Convective Heat ◽

Inclined Plate ◽

Transfer Flow

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Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate

10.20944/preprints202004.0088.v1 ◽

2020 ◽

Author(s):

Muhammad Saqib ◽

Abdul Rahman Mohd Kasim ◽

Nurul Farahain Mohammad ◽

Dennis Ling Chuan Ching ◽

Sharidan Shafie

Keyword(s):

Heat Transfer ◽

Carbon Nanotubes ◽

Fractional Derivatives ◽

Saturated Porous Medium ◽

Convection Heat Transfer ◽

Heat Transfer Fluid ◽

Single Wall Carbon Nanotubes ◽

Inclined Plate ◽

Multi Wall Carbon Nanotubes ◽

Laplace Transform Technique

Nanofluids are a novel class of heat transfer fluid that plays a vital role in industries. In mathematical investigations, these fluids are modeled in terms of traditional integer-order partial differential equations (PDEs). It is recognized that traditional PDEs cannot decode the complex behavior of physical flow parameters and memory effects. Therefore, this article intends to study the mixed convection heat transfer in nanofluid over an inclined vertical plate via fractional derivatives approach. The problem in hand is modeled in connection with Atangana-Baleanu fractional derivatives without singular and local kernel having strong memory. The human blood is considered as base fluid dispersing carbon nanotube (CNTs) (single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes(MWCNTs )) into it to form blood-CNTs nanofluid. The nanofluids are considered to flow in a saturated porous medium under the influence of an applied magnetic field. The exact analytical expressions for velocity and temperature profiles are acquired using the Laplace transform technique and plotted in various graphs. The empirical results indicate that the memory effect decreases with increasing fractional parameters in the case of both temperature and velocity profiles. Moreover, the temperature profile is higher for blood-SWCNTs by reason of higher thermal conductivity whereas, this trend is opposite in case of velocity profile due densities difference.

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