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Radiative Three-Dimensional Flow with Chemical Reaction

  • Tasawar Hayat , Taseer Muhammad , Sabir Ali Shehzad EMAIL logo , Ahmed Alsaedi and Falleh Al-Solamy
Published/Copyright: November 3, 2015
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International Journal of Chemical Reactor Engineering
From the journal International Journal of Chemical Reactor Engineering Volume 14 Issue 1

Abstract

We discuss the three-dimensional boundary layer flow of Maxwell nanofluid in the present article. The flow is caused due to bidirectional stretching surface. An applied magnetic field is taken into account. Heat and mass transfer characteristics are considered in the presence of thermal radiation, Brownian motion, thermophoresis and chemical reaction effects. Mathematical modelling is made under a low magnetic Reynolds number and Rosseland’s approximation. Expressions of series solutions for velocities, temperature and concentration are developed. Impacts of influential parameters on the temperature and concentration are sketched and examined. Numerical values of local Nusselt and Sherwood numbers are computed and analyzed. We found that an increase in thermophoresis and Brownian motion parameters enhanced the temperature field and thermal boundary layer thickness. The concentration field reduced gradually when we enhance the values of Lewis number and chemical reaction parameter. The values of local Nusselt number are higher for a larger radiation parameter.

Keywords: three-dimensional flow; nanoparticles; thermal radiation; chemical reaction

Acknowledgments

This project is funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. 31-130-36-HiCi. The authors, therefore, acknowledge with thanks DSR technical and financial support. We are also grateful to the reviewers for the useful suggestions and comments.

Nomenclature

u,v,w

Velocity components (ms−1)

λ1

Relaxation time (s)

ν

Kinematic viscosity (m2s−1)

μ

Dynamic viscosity (kgm−1s−1)

ρf

Density of base fluid (kgm−3)

σ

Electrical conductivity (s3A2kg−1m−3)

B0

Uniform magnetic field strength (kgs−2A−1)

T

Temperature (K)

C

Concentration

Tw

Wall temperature (K)

Cw

Wall concentration

T∞

Ambient fluid temperature (K)

C∞

Ambient fluid concentration

α

Thermal diffusivity (m2s−1)

DT

Thermophoretic diffusion coefficient (kgm−1s−1K−1)

DB

Brownian diffusion coefficient (kgm−1s−1)

qr

Radiative heat flux (kgs−3K)

K1

Reaction rate (s−1)

σ1

Stefan-Boltzmann constant (kgs−3K−4)

m1

Mean absorption coefficient (m−1K−1)

M

Magnetic parameter

β

Deborah number

Tr

Thermal radiation parameter

Pr

Prandtl number

Le

Lewis number

Nt

Thermophoresis parameter

Nb

Brownian motion parameter

γ

Chemical reaction parameter

Rex

Local Reynolds number

Nux

Local Nusselt number

Shx

Local Sherwood number

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Published Online: 2015-11-3
Published in Print: 2016-2-1

©2016 by De Gruyter

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https://doi.org/10.1515/ijcre-2014-0179
Keywords for this article
three-dimensional flow; nanoparticles; thermal radiation; chemical reaction

Articles in the same Issue

  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 Resonance–Polarity (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
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