Comprehensive Investigation of Thermal and Flow Features of Alloy Based Nanofluid Considering Shape and Newtonian Heating Effects via New Fractional Approach
The core purpose of this work is the formulation of a mathematical model by dint of a
new fractional modeling approach to study the dynamics of flow and heat transfer phenomena.
This approach involves the incorporation of the Prabhakar fractional operator in mathematical
analysis to transform the governing system from a conventional framework to a generalized one.
This generalized model evaluates the improvement in thermal efficacy of vacuum pump oil because
of the inclusion of aluminum alloy nanoparticles. The flow of the under-observation nanofluid
starts due to the combined effects of natural convection and the ramped velocity function at the
boundary. Meanwhile, an analysis of the energy equation is conducted by taking the Newtonian
heating mechanism into consideration. The characteristics of platelet-, brick-, cylinder-, and bladeshaped
alloy nanoparticles are incorporated into the primary system using shape-dependent relations
for thermal conductivity and viscosity. Both the classical and generalized models are solved to derive
the exact solutions by first inserting some dimension-independent quantities and then operating the
Laplace transform on the succeeding equations. These solutions are utilized for the development of
graphical illustrations to serve the purpose of covering all features of the problem under consideration.
Furthermore, changes in energy and flow functions due to the dominant influences of the relevant
contributing factors are delineated with appropriate physical arguments. In addition, the numerical
results of the skin friction coefficient and Nusselt number are displayed via multiple tables to analyze
the disturbance in shear stress and discuss the contribution of the fractional parameters, the volume
concentration of the considered nanoparticles, and the shape factor in the boost of the thermal
potential of the considered nanofluid. The findings imply that aluminum alloy nanoparticles have the
ability to produce a 44% enhancement in the thermal effectiveness of vacuum pump oil. Moreover,
the flow velocity is reduced as the loading range of the nanoparticles rises.
In the current study, we analyze the 2D Williamson nanoliquid flow due to variable thickness surface
embedded in permeable space. Cattaneo–Christov heat and mass flux assumptions have been…
The core purpose of this work is the formulation of a mathematical model by dint of a
new fractional modeling approach to study the dynamics of flow and heat transfer phenomena.
This…
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