Startseite Heat Flux and Variable Thermal Conductivity Effects on Casson Flow and Heat Transfer due to an Exponentially Stretching Sheet with Viscous Dissipation and Heat Generation
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Heat Flux and Variable Thermal Conductivity Effects on Casson Flow and Heat Transfer due to an Exponentially Stretching Sheet with Viscous Dissipation and Heat Generation

  • Ahmed M. Megahed EMAIL logo
Veröffentlicht/Copyright: 4. November 2015
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

In this paper, we introduce a theoretical and numerical study for the effects of thermal buoyancy and constant heat flux on the Casson fluid flow and heat transfer over an exponentially stretching sheet taking into account the effects of variable thermal conductivity, heat generation/absorption and viscous dissipation. The governing partial differential equations are transformed into coupled, non-linear ordinary differential equations by using suitable transformations. Numerical solutions to these equations are obtained by using the fourth order Runge-Kutta method with the shooting technique. The effects of various physical parameters which governing the flow and heat treansfer such as the buoyancy parameter, the thermal conductivity parameter, heat generation or absorption parameter and the Prandtl number on velocity and temperature are discussed by using graphical approach. Moreover, numerical results indicate that the local skin-friction coefficient and the local Nusselt number are strongly affected by the constant heat flux.

References

1. Crane, L.J., 1970. Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik 21, 645–647.10.1007/BF01587695Suche in Google Scholar

2. Gupta, P.S., Gupta, A.S., 1977. Heat and mass transfer on a stretching sheet with suction and blowing. Canadian Journal of Chemical Engineering 55, 744–746.10.1002/cjce.5450550619Suche in Google Scholar

3. Chen, C.K., Char, M.I., 1988. Heat transfer of a continuous stretching surface with suction or blowing. Journal of Mathematical Analysis and Applications 135, 568–580.10.1016/0022-247X(88)90172-2Suche in Google Scholar

4. Pop, I. Na, T.Y., 1996. Unsteady flow past a stretching sheet. Mechanics Research Communications 23, 413–422.10.1016/0093-6413(96)00040-7Suche in Google Scholar

5. Cortell, R., 2007. Viscous flow and heat transfer over a nonlinearly stretching sheet. Applied Mathematics and Computation 184, 864–873.10.1016/j.amc.2006.06.077Suche in Google Scholar

6. Hayat, T., Abbas, Z., Javed, T., 2008. Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet. Physics Letters A 372, 637–647.10.1016/j.physleta.2007.08.006Suche in Google Scholar

7. Akyildiz, F.T., Siginer, D.A., 2010. Galerkin-Legendre spectral method for the velocity and thermal boundary layer over a non-linearly stretching sheet. Non-Linear Analysis Real World Applications 11 735–741.10.1016/j.nonrwa.2009.01.018Suche in Google Scholar

8. Megahed, A.M., 2012. Variable viscosity and slip velocity effects on the flow and heat transfer of a power-law fluid over a non-linearly stretching surface with heat flux and thermal radiation. Rheologica Acta 51, 841–847.10.1007/s00397-012-0644-8Suche in Google Scholar

9. Magyari, E., Keller, B., 1999. Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. Journal of Physics D: Applied Physics 32, 577–585.10.1088/0022-3727/32/5/012Suche in Google Scholar

10. ELbashbeshy, E.M.A., 2001. Heat transfer over an exponentially stretching continuous surface with suction. Archives in Mechanics 53, 643–651.Suche in Google Scholar

11. Parhta, M.K. Murthy, Rajasekhar, G.P., 2005. Effects of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface. Heat Mass Transfer 41, 360–366.10.1007/s00231-004-0552-2Suche in Google Scholar

12. Sajid, M., Hayat, T., 2008. Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet. International Communications in Heat and Mass Transfer 35, 347–356.10.1016/j.icheatmasstransfer.2007.08.006Suche in Google Scholar

13. Bidin, B., Nazar, R., 2009. Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation. European Journal of Scientific Research 33, 710–717.Suche in Google Scholar

14. Nadeem, S., Zaheer, S., Fang. T., 2011. Effects of thermal radiation on the boundary layer flow of a Jeffrey fluid over an exponentially stretching surface. Numerical Algorithms 57, 187–205.10.1007/s11075-010-9423-8Suche in Google Scholar

15. Bhattacharyya, K., 2011. Boundary layer flow and heat transfer over an exponentially shrinking sheet. Chinese Physics Letters 28, 074701–1–074701–4.10.1088/0256-307X/28/7/074701Suche in Google Scholar

16. Mukhopadhyay, S., Ranjan De, P., Bhattacharyya, K., Layek, G.C., 2013. Casson fluid flow over an unsteady stretching surface. Ain Shams Engineering Journal 4, 933–938.10.1016/j.asej.2013.04.004Suche in Google Scholar

17. Pramanik, S., 2014. Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Engineering Journal 5, 205–212.10.1016/j.asej.2013.05.003Suche in Google Scholar

18. Megahed, A. M., 2015. Effect of slip velocity on Casson thin film flow and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation. Applied Mathematics and Mechanics 36, 1273–1284.10.1007/s10483-015-1983-9Suche in Google Scholar

19. Mustafa, M., Hayat, T., Pop, I., Hendi A., 2012. Stagnation-point flow and heat transfer of a Casson fluid towards a stretching sheet. Zeitschrift für Naturforschung 67a, 70–76.10.5560/zna.2011-0057Suche in Google Scholar

20. Mahmoud, M.A.A., 2011. The effects of variable fluid properties on MHD Maxwell fluids over a stretching surface in the presence of heat generation/absorption. Chemical Engineering and Communications 198, 131–146.10.1080/00986445.2010.500148Suche in Google Scholar

21. Mahmoud, M.A.A., Megahed, A.M., 2009. MHD flow and heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet with variable fluid properties. The Canadian Journal of Physics 87, 1065–1071.10.1139/P09-066Suche in Google Scholar

Published Online: 2015-11-4
Published in Print: 2016-2-1

©2016 by De Gruyter

Artikel in diesem Heft

  1. Frontmatter
  2. Review
  3. Novel Membrane Reactor Concepts for Hydrogen Production from Hydrocarbons: A Review
  4. Research Articles
  5. Modeling and Simulation Study of an Industrial Radial Moving Bed Reactor for Propane Dehydrogenation Process
  6. Oxidative Degradation of Methylene Blue in Aqueous Medium Catalyzed by Lab Prepared Nickel Hydroxide
  7. CFD Modelling of a Hollow Fibre Membrane for CO2 Removal by Aqueous Amine Solutions of MEA, DEA and MDEA
  8. Performance Study of a Thermally Double Coupled Multi-Tubular Reactor by Considering the Effect of Flow Type Patterns
  9. Radiative Three-Dimensional Flow with Chemical Reaction
  10. Three-Phase Model of a Fluidized-Bed Catalytic Reactor for Polyethylene Synthesis
  11. Study on the Effect of Nickel Doping on Mo-Bi Based Catalyst for Selective Oxidation of Isobutene to Methacrolein
  12. DM Water Plant Sedimentation as a Cheap and Waste Source of Catalyst for Biodiesel Production
  13. Recovery of Biogas from Meat Industry Wastewater Using Continuously Stirred Tank Reactor (CSTR): Modeling and Optimization
  14. Comparison of CFD Simulation and Simplified Modeling of a Fluidized Bed CO2 Capture Reactor
  15. Kinetic Study for Platinum Extraction from Spent Catalyst in Cyanide Solution at High Temperatures
  16. Hydroisomerization of Biomass Derived n-Hexadecane Towards Diesel Pool: Effect of Selective Removal External Surface Sites from Pt/ZSM-22
  17. Heat Flux and Variable Thermal Conductivity Effects on Casson Flow and Heat Transfer due to an Exponentially Stretching Sheet with Viscous Dissipation and Heat Generation
  18. Optimization of Nickel Chemical Extraction from Hazardous Residue
  19. Green Approach for Biodiesel Production from Jojoba Oil Supported by Process Modeling and Simulation
  20. Differentiating Process Performance of Various Coagulants in Removal of Congo red and Orange G Dyes
  21. CFD Simulation of Hydrodynamic of a Bubble Column Reactor Operating in Churn-Turbulent Regime and Effect of Gas Inlet Distribution on System Characteristics
  22. Transformation of Phenolic Compounds by Fe(III) in the Aqueous Solution in Dark and Under Irradiation
  23. Transient Predictive Model for Dynamic Analysis, Kinetic Study, and Reactor Design of Triglycerides Transesterification to Biodiesel
  24. Screening of Alternative Carbon Sources for Recombinant Protein Production in Pichia pastoris
  25. Optimization of a Large Scale Industrial Reactor Towards Tailor Made Polymers Using Genetic Algorithm
  26. Model of Reactive Transport within a Light Photocatalytic Textile
  27. Preparation of Chitosan based Nanofibers: Optimization and Modeling
  28. Adsorption of As (III) on Iron Coated Quartz Sand: Influence of Temperature on the Equilibrium Isotherm, Thermodynamics and Isosteric Heat of Adsorption Analysis
  29. Resistance Characteristics of Coal Slime in Pipe Flow at High Pressure
  30. Activity Comparison of Acidic Resins in the Production of Valuable Glycerol Acetates
  31. Bulk Polymerization of Styrene using Multifunctional Initiators in a Batch Reactor: A Comprehensive Mathematical Model
  32. An Effective Reaction Rate Model for Gas-Solid Reactions with High Intra-Particle Diffusion Resistance
  33. Heart-Like Micro-Flow Mixer
  34. Hydrogen Production by Hydrolysis of NaBH4 with Cr-Ni-W-B Catalyst: Effects of Cold Plasma and Chromium Content
  35. Prediction of Reactivity Ratios in Free Radical Copolymerization from Monomer ResonancePolarity (Q–e) Parameters: Genetic Programming-Based Models
  36. Steady-State Modeling of Pt-Catalyzed H2 Combustion in a Monolithic Reactor: From Micro- to Macro-kinetics
  37. Premixed Methanol–Air Combustion Characteristics in a Mini-scale Catalytic Combustor
  38. Kinetic Modeling of VOC Photocatalytic Degradation Using a Process at Different Reactor Configurations and Scales
  39. Improvement of Activated Sludge Process Using a Nonlinear PI Controller Design via Adaptive Gain
  40. Modeling and Simulation of a Pilot-Scale Bubbling Fluidized Bed Gasifier for the Gasification of High Ash Indian Coal Using Eulerian Granular Approach
  41. Performance of a Catalytic Gas–Solid Fluidized Bed Reactor in the Presence of Interparticle Forces
  42. Mathematical Modeling of Biodiesel Production under Intense Agitation
  43. Extended Aeration Activated Sludge Reactor (EAASR) for Removal of Nitrobenzene: Air Stripped or Biologically Removed?
  44. CFD Modeling of Algae Flash Pyrolysis in the Batch Fluidized Bed Reactor Including Heat Carrier Particles
  45. A Robust Extended State Observer for the Estimation of Concentration and Kinetics in a CSTR
  46. Dynamic Modeling of CATOFIN® Fixed-Bed Iso-Butane Dehydrogenation Reactor for Operational Optimization
  47. Effect of Biomass Compositions on Combustion Kinetic Parameters using Response Surface Methodology
  48. Short Communications
  49. Discussions on Particle Flux Measurement in Gas-Solids Risers
  50. Use of New Regeneration Processes for Thermolabile Amines
  51. Oxidative-Extractive Desulfurization of Liquid Fuel by Dimethyl Sulfoxide and ZnCl2 Based Ionic Liquid
  52. Corrigendum
  53. Corrigendum to: Performance Analysis of Immobilized Enzyme Semifluidised Bed Bioreactors
Heruntergeladen am 16.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ijcre-2015-0135/pdf?lang=de
Button zum nach oben scrollen