Convective instability in the presence of a catalytic chemical reaction: Part II. Oscillatory instability

AIChE Journal ◽  
1972 ◽  
Vol 18 (4) ◽  
pp. 769-773 ◽  
Author(s):  
P. C. Wankat ◽  
W. R. Schowalter
Keyword(s):  
Chemical Reaction ◽  
Convective Instability ◽  
Oscillatory Instability ◽  
Catalytic Chemical Reaction

The Galerkin method applied to convective instability problems

1968 ◽  
Vol 33 (1) ◽  
pp. 201-208 ◽  
Author(s):  
Bruce A. Finlayson
Keyword(s):  
Exact Solution ◽  
Time Dependence ◽  
Galerkin Method ◽  
Convective Instability ◽  
Fluid Layer ◽  
Oscillatory Instability ◽  
Rotating Fluid ◽  
Exponential Time ◽  
The Stability ◽  
The Galerkin Method

The Galerkin method is applied in a new way to problems of stationary and oscillatory convective instability. By retaining the time derivatives in the equations rather than assuming an exponential time-dependence, the exact solution is approximated by the solution to a set of ordinary differential equations in time. Computations are simplified because the stability of this set of equations can be determined without finding the detailed solution. Furthermore, both stationary and oscillatory instability can be studied by means of the same trial functions. Previous studies which have treated only stationary instability by the Galerkin method can now be extended easily to include oscillatory instability. The method is illustrated for convective instability of a rotating fluid layer transferring heat.

scholarly journals The Effect of Thermal Radiation on the Surface Catalytic Chemical Reaction

2020 ◽  
Vol 71 (10) ◽  
pp. 1-10
Author(s):  
Gheorghe Juncu
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Reaction Rate ◽  
Multigrid Method ◽  
Defect Correction ◽  
Sphere Surface ◽  
Discrete Equations ◽  
Model Equations ◽  
Catalytic Chemical Reaction ◽  
The Mathematical Model

The effect of thermal radiation on the two - dimensional, steady-state, coupled heat and mass transfer from a fluid flow to a sphere in the presence of an exothermal catalytic chemical reaction on the surface of the sphere is investigated in the present work. The P1 approximation models the radiative transfer. The finite difference method was used to discretize the mathematical model equations. The discrete equations were solved by the defect correction - multigrid method. The influence of thermal radiation on the sphere surface temperature, concentration and reaction rate was analysed. It was found that, for high values of the radiation conduction parameter, thermal radiation has a significant effect on the surface reaction.

scholarly journals Convection – Diffusion – Radiation Heat and Mass Transfer to a Sphere Accompanied by a Surface Exothermal Chemical Reaction

2021 ◽  
Author(s):  
Gheorghe Juncu
Keyword(s):  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Convection Diffusion ◽  
Discrete Equations ◽  
Model Equations ◽  
Catalytic Chemical Reaction ◽  
The Mathematical Model ◽  
Exothermal Chemical

The steady-state, coupled heat and mass transfer from a fluid flow to a sphere accompanied by an exothermal catalytic chemical reaction on the surface of the sphere is analysed taking into consideration the effect of thermal radiation. The flow past the sphere is considered steady, laminar and incompressible. The radiative transfer is modeled by P0 and P1 approximations. The mathematical model equations were discretized by the finite difference method. The discrete equations were solved by the defect correction – multigrid method. The influence of thermal radiation on the sphere surface temperature, concentration and reaction rate was analysed for three parameter sets of the dimensionless reaction parameters. The numerical results show that only for very small values of the Prater number the effect of thermal radiation on the surface reaction is not significant.

scholarly journals Effects of temperature dependent viscosity and thermal conductivity on natural convection flow along a curved surface in the presence of exothermic catalytic chemical reaction

PLoS ONE ◽  
2021 ◽  
Vol 16 (7) ◽  
pp. e0252485
Author(s):  
Uzma Ahmad ◽  
Muhammad Ashraf ◽  
A. Al-Zubaidi ◽  
Aamir Ali ◽  
Salman Saleem
Keyword(s):  
Thermal Conductivity ◽  
Natural Convection ◽  
Velocity Profile ◽  
Chemical Reaction ◽  
Transfer Rate ◽  
Mass Concentration ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Dependent Viscosity ◽  
Catalytic Chemical Reaction

The natural convection boundary layer flow of a viscous incompressible fluid with temperature dependent viscosity and thermal conductivity in the presence of exothermic catalytic chemical reaction along a curved surface has been investigated. The governing non dimensional form of equations is solved numerically by using finite difference scheme. The numerical results of velocity profile, temperature distribution and mass concentration as well as for skin friction, heat transfer rate and mass transfer rate are presented graphically and in tabular form for various values of dimensionless parameters those are generated in flow model during dimensionalization. From the obtained results, it is concluded that the exothermic catalytic chemical reactions is associated with temperature dependent viscosity and thermal conductivity. Further, it is concluded that the body shape parameter also plays an important quantitative role for change in velocity profile, temperature field and mass concentration behavior in the presence of exothermic catalytic chemical reaction.

Modeling of a gas catalytic chemical reaction, taking into account the diffusion in the adsorbed phase

2006 ◽  
Vol 117 (1) ◽  
pp. 31-38 ◽  
Author(s):  
Anélie Pétrissans ◽  
Mathieu Pétrissans ◽  
André Zoulalian
Keyword(s):  
Chemical Reaction ◽  
Adsorbed Phase ◽  
Catalytic Chemical Reaction
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