Mixed convection flow of viscoelastic Ag-Al<sub>2</sub>O<sub>3</sub> /water hybrid nanofluid past a rotating disk
Dachasa Gamachu, Wubshet Ibrahim
Abstract
Abstract An exploration is carried out to inspect mixed convection flow of viscoelastic hybrid nanofluid past a rotating disk under slip and convective heating condition influences. As the hybrid nanoparticles, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">Al</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mrow> <mml:mi>O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msub> </mml:math> and silver (Ag) are considered with carboxymethyl cellulose (CMC) - water with low concentration ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mn>0.0</mml:mn> <mml:mo>−</mml:mo> <mml:mn>0.4</mml:mn> <mml:mo>%</mml:mo> </mml:math> ) preferred as a base fluid. The viscoelastic (non-Newtonian) fluid model is assumed in favor of hybrid nanofluids applying magnetic field influences normal to the flow of fluid. The nonlinear ordinary differential equations get a hold from the governing equations are simplified using suitable similitude into dimensionless from and are solved via the influential method called Galerkin finite element method. The roles of physical parameters on radial and tangential velocities, temperature and concentration are exhibited graphically with their physical features. The results show that enrichment in the values of Grashof number be inclined to develop buoyancy forces which speed up the motion of fluid and tends to increases radial and tangential velocity fields but it imposes to decline temperature and concentration profile. Also, the outcome confirms that the distribution of temperature and concentration can be controlled with higher alumina and silver nanoparticles volume fraction. Moreover, the effects of thermal Grashof number, volume fraction of alumina and silver nanoparticles on skin friction coefficients, Nusselt number and Sherwood number are numerically discussed through tables. It also corroborates that 3% vol. fraction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">Al</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mrow> <mml:mi>O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msub> </mml:math> and Ag nanoparticles has the greatest − <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi mathvariant="normal">Θ</mml:mi> <mml:mo accent="false">′</mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> than 1% vol. fraction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">Al</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> <mml:msub> <mml:mrow> <mml:mi>O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:msub> </mml:math> and Ag nanoparticles.