Abstract
The present study is about the investigation of different aspects of viscous and electrically conducting Titania nanofluids with different base fluids. A three dimensional geometry is assumed for the steady nanofluid flow over an inclined rotating disk by applying magnetic field. The time-independent partial differential equations are constructed from the demonstrated geometry for the continuity, momentum and energy balance. By using similarity variables transformation these equations are reduced to a system of nonlinear ordinary differential equations. A numerical technique is used to solve the reduced system of equations. State variables are depicted to investigate the effects of various parameters with their variation. The influence of different physical parameters, like magnetic parameter M, Hall parameter m, porosity parameter γ, radiation parameter Rd and thickness parameter δ are briefly discussed graphically. In addition, the Nusselt number and skin friction are discussed graphically. A comparison of the applied numerical approach with the homotopy analysis method is carried out in the tabular form. Tables show the reliability of our technique verses the homotopy analysis method. The convergence of the implemented technique is presented by graph for the number of iterations performed.
Highlights
In early 1990’s a remarkable achievement has achieved after the advancement in the field of nanotechnology, in form of nanofluid consists of nanoparticles
At the maximum value of η, our result looks similar to analytical method up to two decimal places with an absolute error 0.002741
The main objectives of this study is to investigate the effects produced by different parameters on the state variables velocity and temperature, and the behavior of modeled equations under these parameters
Summary
In early 1990’s a remarkable achievement has achieved after the advancement in the field of nanotechnology, in form of nanofluid consists of nanoparticles. The most important property of nanofluid is the enhancement in heat transfer, and that’s why it is considered to be a key part of research in thermal systems. This area is the focus point from its engineering and other technological applications point of view. Due to its high thermal conductivity, nanofluids are considered a vital agent in cooling of electronic accessories and large scale chambers in industry, cancer therapy, cholesterol control, drink and food, oil, paper, safer surgeries and heat exchangers etc.[1,2,3] In these types of fluids the suspended particles are of size up 100nm.[4] The particle size of the base fluids is normally near 50nm is considered quite ideal for heat exchange processes. The thermal conductivity of water and engine oil are thousand times less than the Copper (Cu)
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