Fully developed Darcy-Forchheimer mixed convective flow over a curved surface with activation energy and entropy generation.

Riaz Muhammad, M Ijaz Khan, Mohammed Jameel, Niaz B Khan
Author Information
  1. Riaz Muhammad: Mechanical Engineering Department College of Engineering, University of Bahrain, Bahrain.
  2. M Ijaz Khan: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. Electronic address: mikhan@math.qau.edu.pk.
  3. Mohammed Jameel: Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Saudi Arabia.
  4. Niaz B Khan: School of Mechanical and Manufacturing Engineering, National University of Sciences and Technology, Islamabad, Pakistan. Electronic address: n_bkhan@yahoo.com.

Abstract

BACKGROUND: Mixed convection (forced+natural convection) is frequently observed in exceptionally high output devices where the forced convection isn't sufficient to dissipate all of the heat essential. At this point, consolidating natural convection with forced convection will frequently convey the ideal outcomes. Nuclear reactor technology and a few features of electronic cooling are the examples of these processes. Mixed convection problems are categorized by Richardson number (Ri), which is the ratio of Grashof number (for natural convection) and Reynolds number (for forced convection). For buoyancy or mixed convection the relative effect can be addressed by Richardson number. Typically, the natural convection is negligible when Richardson number is less than 0.1 (Ri < 0.1), forced convection is negligible when Richardson number is greater than 10 (Ri > 10) and neither is negligible when (0.1 < Ri < 10). It might be noticed that generally the forced convection is large comparative with natural convection except in case of remarkably low forced flow velocities. The current work gives significant insights regarding dissipative mixed convective Darcy-Forchheimer flow with entropy generation over a stretched curved surface. The energy equation is developed with respect to nonlinear radiation, dissipation and Ohmic heating (Joule heating). Binary reaction via activation energy is accounted.
METHOD: Curvilinear transformations are utilized to change the nonlinear PDE's into ordinary ones. Computational outcomes are obtained via NDSolve MATHEMATICA. The results are computed and discussed graphically.
RESULTS: Velocity decays for Forchheimer number. Entropy generation enhances for diffusion parameter and chemical reaction parameter. Concentration profile reduces chemical reaction parameter and enhances for activation parameter.

Keywords

MeSH Term

Algorithms
Computer Simulation
Convection
Diffusion
Elasticity
Entropy
Hot Temperature
Hydrodynamics
Models, Theoretical
Nanotechnology
Rheology
Software
Viscosity

Word Cloud

Created with Highcharts 10.0.0convectionnumberforcednaturalRichardsonflowgenerationenergyparameterMixedmixednegligibleDarcy-Forchheimersurfacereactionactivationfrequentlyoutcomes01convectiveentropycurveddevelopednonlineardissipationheatingviaEntropyenhanceschemicalBACKGROUND:forced+naturalobservedexceptionallyhighoutputdevicessufficientdissipateheatessentialpointconsolidatingwillconveyidealNuclearreactortechnologyfeatureselectroniccoolingexamplesprocessesproblemscategorizedRiratioGrashofReynoldsbuoyancyrelativeeffectcanaddressedTypicallylessRi < 0greater10Ri > 10neither1 < Ri < 10mightnoticedgenerallylargecomparativeexceptcaseremarkablylowvelocitiescurrentworkgivessignificantinsightsregardingdissipativestretchedequationrespectradiationOhmicJouleBinaryaccountedMETHOD:CurvilineartransformationsutilizedchangePDE'sordinaryonesComputationalobtainedNDSolveMATHEMATICAresultscomputeddiscussedgraphicallyRESULTS:VelocitydecaysForchheimerdiffusionConcentrationprofilereducesFullyActivationCurvedstretchingslipViscous

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