Study on Heat Transfer of Non-Newtonian Power Law Fluid in Pipes with Different Cross Sections

The aim of the present study is to investigate the boundary layer flow of power-law fluid over the horizontal stretching cylinder. The temperature-dependent thermal conductivity of the power-law fluid is considered. Combined effects of constant thermal conductivity and viscous dissipation are analyzed in heat transfer. The relevant boundary layer partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using suitable transformations. These nonlinear ordinary differential equations are solved by the BVP4C method using MATLAB. The accuracy of computed results is checked by comparing them with existing literature. To discuss the effects of flow parameters on velocity and temperature profiles graphs with numeric values are developed. The constant thermal conductivity and radiation effects are enhanced corresponding to a higher fluid temperature. The thermal boundary layer thickness is enhanced with the increase in Eckert number. The effect of all physical parameters on skin friction coefficient and local Nusselt number are discussed through tables and graphs.

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“…(6) in Eqs. (1)(2)(3). The continuity equation is identically satisfied, while momentum and heat equations Eq.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Several researchers have examined the power-law fluid by using the shear rate and viscosity of the non-Newtonian fluid. Zhang [1] studied the impacts of the non-Newtonian power-law fluid's velocity and temperature field in annular flow. Schowalter [2] explains how boundary layer theory may be applied to power-law pseudo plasticfluids.…”

Section: Introductionmentioning

confidence: 99%

Flow and Heat Transfer of Power Law Fluid over Horizontal Stretching Cylinder with Partial Slip Condition and Thermal Radiation

Shamim¹,

Shahzad

Naseem

2022

IJEMD-M

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“…Since then, the past and recent developments on heat transfer aspects in non-Newtonian fluid flows can be assessed in Refs. [12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Artificial Neural Networking (ANN) Model for Convective Heat Transfer in Thermally Magnetized Multiple Flow Regimes with Temperature Stratification Effects

2022

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The convective heat transfer in non-Newtonian fluid flow in the presence of temperature stratification, heat generation, and heat absorption effects is debated by using artificial neural networking. The heat transfer rate is examined for the four different thermal flow regimes namely (I) thermal flow field towards a flat surface along with thermal radiations, (II) thermal flow field towards a flat surface without thermal radiations, (III) thermal flow field over a cylindrical surface with thermal radiations, and (IV) thermal flow field over a cylindrical surface without thermal radiations. For each regime, a Nusselt number is carried out to construct an artificial neural networking model. The model prediction performance is reported by using varied neuron numbers and input parameters, and the results are assessed. The ANN model is designed by using the Bayesian regularization training procedure, and a high-performing MLP network model is used. The data used in the creation of the MLP network was 80 percent for model training and 20 percent for testing. The graph shows the degree of agreement between the ANN model projected values and the goal values. We discovered that an artificial neural network model can provide high-efficiency forecasts for heat transfer rates having engineering standpoints. For both flat and cylindrical surfaces, the heat transfer normal to the surface reflects inciting nature towards the Prandtl number and heat absorption parameter, while the opposite is the case for the temperature stratification parameter and heat generation parameter. It is important to note that the magnitude of heat transfer is significantly larger for Flow Regime-IV in comparison with Flow Regimes-I, -II, and -III.

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“…Turan et al [13] discussed mixed convection of power-law liquids in enclosures. The heat conduction of power law liquid in various section tubes was considered by Zhang et al [14]. Ahmedet et al [15] addressed MHD power law liquid flow in a Darcy-Brinkmann porous medium.…”

Section: Introductionmentioning

confidence: 99%

A Non-Newtonian Magnetohydrodynamics (MHD) Nanofluid Flow and Heat Transfer with Nonlinear Slip and Temperature Jump

Zhu

Han

2019

Mathematics

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The velocity and thermal slip impacts on the magnetohydrodynamics (MHD) nanofluid flow and heat transfer through a stretched thin sheet are discussed in the paper. The no slip condition is substituted for a new slip condition consisting of higher-order slip and constitutive equation. Similarity transformation and Lie point symmetry are adopted to convert the derived governed equations to ordinary differential equations. An approximate analytical solution is gained through the homotopy analysis method. The impacts of velocity slip, temperature jump, and other physical parameters on flow and heat transfer are illustrated. Results indicate that the first-order slip and nonlinear slip parameters reduce the velocity boundary layer thickness and Nusselt number, whereas the effect on shear stress is converse. The temperature jump parameter causes a rise in the temperature, but a decline in the Nusselt number. With the increase of the order, we can get that the error reaches 10 − 6 from residual error curve. In addition, the velocity contours and the change of skin friction coefficient are computed through Ansys Fluent.

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Study on Heat Transfer of Non-Newtonian Power Law Fluid in Pipes with Different Cross Sections

Cited by 11 publications

References 2 publications

Flow and Heat Transfer of Power Law Fluid over Horizontal Stretching Cylinder with Partial Slip Condition and Thermal Radiation

Flow and Heat Transfer of Power Law Fluid over Horizontal Stretching Cylinder with Partial Slip Condition and Thermal Radiation

Artificial Neural Networking (ANN) Model for Convective Heat Transfer in Thermally Magnetized Multiple Flow Regimes with Temperature Stratification Effects

A Non-Newtonian Magnetohydrodynamics (MHD) Nanofluid Flow and Heat Transfer with Nonlinear Slip and Temperature Jump

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