A comparative study for convective flow of basefluid (gasoline oil), nanomaterial (SWCNTs) and hybrid nanomaterial (SWCN
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ORIGINAL ARTICLE
A comparative study for convective flow of basefluid (gasoline oil), nanomaterial (SWCNTs) and hybrid nanomaterial (SWCNTs + MWCNTs) Khursheed Muhammad1 · T. Hayat1 · A. Alsaedi2 · B. Ahmed2 Received: 27 July 2019 / Accepted: 16 September 2020 © King Abdulaziz City for Science and Technology 2020
Abstract In this communication, we have investigated flow of hybrid nanomaterial (SWCNTs + MWCNTs) by a curved stretched surface. Relative analysis of nanomaterial (SWCNTs) and hybrid nanomaterial (SWCNTs + MWCNTs) is performed. Gasoline oil is treated as basefluid. Heat transfer features are elaborated via thermal radiation and convection. Equations relevant to flow field (PDEs) are transmitted into ODEs through adequate transformations. Solutions are developed via the shooting method. Furthermore, relative analysis of basefluid (gasoline oil), nanomaterial (SWCNTs) and hybrid nanomaterial (SWCNTs + MWCNTs) is presented through higher estimations of influential flow parameters during observation of flow, skin friction coefficient, temperature and Nusselt number. Keywords Curved sheet · Convective boundary condition · Hybrid nanofluid (SWCNTs + MWCNTs) · Thermal radiation · Gasoline oil (basefluid) · Numerical solution Abbreviations u, v Components of velocity s, r Curvilinear coordinates system 𝜇f Fluid dynamic viscosity 𝜈f Kinematic fluid viscosity 𝜌f Density of basefluid kf Fluid thermal conductivity 𝛼f Thermal diffusivity of basefluid f ′ Non-dimensional velocity 𝜃 Non-dimensional temperature CNTs Carbon nanotubes 𝛾0 Heat transfer coefficient 𝛽 Thermal Biot number 𝛾 Curvature parameter Rd Radiation parameter 𝜎 ∗ Mean absorption coefficient For hybrid nanofluid 𝜇hnf Dynamic viscosity 𝜈hnf Kinematic viscosity * Khursheed Muhammad [email protected]; [email protected] 1
Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
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𝜌hnf Density khnf Thermal conductivity 𝛼hnf Thermal diffusivity (cp )hnf Specific heat (cp )f Specific heat of basefluid Pr Prandtl number 𝜏w Wall shear stress U0 Arbitrary constants p Pressure Uw (s) Stretching surface velocity P Non-dimensional pressure T∞ Fluid ambient temperature kS1 Thermal conductivity of SWCNTs kS2 Thermal conductivity of MWCNTs MWCNTs Multiple-walled CNTs SWCNTs Single-walled CNTs 𝜙2 MWCNTs volume fraction 𝜙1 SWCNTs volume fraction Q∗ Heat source/sink coefficient For nanofluid knf Thermal conductivity 𝛼nf Thermal diffusivity (cp )nf Specific heat 𝜇nf Dynamic viscosity 𝜈nf Kinematic viscosity 𝜌nf Density
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Vol.:(0123456789)
Applied Nanoscience
Introduction Recent developments in industrial and thermal processes directly depend upon the requirement of processing more compact and efficient heat transfer equipments. To fulfill such requirements the scientists and engineers have made many attempts to design v
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