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Slip Effects on Casson Nanofluid over a Stretching Sheet with Activation Energy: RSM Analysis

Jawad Raza, Fateh Mebarek‐Oudina, Haider Ali, Ioannis E. Sarris

2024Frontiers in Heat and Mass Transfer80 citationsDOIOpen Access PDF

Abstract

The current study is dedicated to presenting the Casson nanofluid over a stretching surface with activation energy. In order to make the problem more realistic, we employed magnetic field and slip effects on fluid flow. The governing partial differential equations (PDEs) were converted to ordinary differential equations (ODEs) by similarity variables and then solved numerically. The MATLAB built-in command ‘bvp4c’ is utilized to solve the system of ODEs. Central composite factorial design based response surface methodology (RSM) is also employed for optimization. For this, quadratic regression is used for data analysis. The results are concluded by means of tables and pictorial representations. The present study discloses that the temperature profile increases with enhancement in Ha, N, N, and N and it shows opposite behavior for λ. The included parameters show same trend for heat transfer rate (Nu). It is also concluded that δ should be maximum for any value of N and N to maximize the heat transfer rate.

Topics & Concepts

Ordinary differential equationNanofluidHeat transferSlip (aerodynamics)Quadratic equationResponse surface methodologyFactorial experimentMATLABPartial differential equationActivation energyMathematicsMaterials scienceThermodynamicsMechanicsApplied mathematicsDifferential equationPhysicsMathematical analysisComputer scienceChemistryGeometryStatisticsPhysical chemistryOperating systemNanofluid Flow and Heat TransferHeat Transfer MechanismsHeat Transfer and Optimization