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The analytical modeling of propane-oxygen mixture at catalytic micro-channel

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Abstract

In the present work the effect of catalytic surface reaction on non-reactive bulk flow in micro-channel is investigated. The reaction surface is analyzed with assumption of constant wall temperature. To solve this problem, the energy, mole fraction and catalytic reaction equations are solved by trial and error process. The analysis show that most sensitive parameter is fuel conversion and the sensitivity of hydraulic diameter is more than longitude coordinates.

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Abbreviations

A C :

Cross-sectional area of micro-channel (m2)

C b :

Molar density (mole/m3)

C P :

Constant pressure specific heat (J/KgK)

D :

Diffusion coefficient (m2/s)

d C :

Thickness of Pt catalyst (m)

d h :

Hydraulic diameter (m)

E :

Relative sensitivity parameter

h :

Convection heat transfer coefficient (W/m2K)

h m :

Convection mass transfer coefficient (m/s)

Pr :

Prandtl number

Q :

Catalyst heat transfer (W)

Re :

Reynolds number

S :

Normalized sensitivity analysis parameter

s :

Sensitivity analysis parameter

Sc :

Schmidt number

Sh :

Sherwood number

T :

Temperature (K)

U :

Velocity (m/s)

V :

Volume (m3)

W C :

Reaction rate

X :

Axial location (m)

k :

Thermal conductivity (w/mK)

k C :

The rate constant of catalytic reaction

L :

The channel length (m)

M :

Molecular weight of species

\(\dot{m}\) :

Mass flow rate (Kg/s)

Nu :

Nusselt number

P :

Static pressure (atm)

p :

Wetted perimeter of micro-channel (m)

Pe :

Peclet number

Y :

Mole fraction of fuel

Φ :

Model response parameter

μ :

Viscosity (Ns/m2)

ρ :

Density (Kg/m3)

υ :

Diffusion volumes of samples

c :

Conversion, catalytic reaction

i :

Input, samples

m :

Mass

S :

Surface

0 :

Nominal value

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Authors and Affiliations

  1. Center of Excellence on Modelling and Control Systems (CEMCS) & Mechanical Engineering Department, Ferdowsi University of Mashhad, 917751111, Mashhad, Iran

    S. A. Fanaee & J. A. Esfahani

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  1. S. A. Fanaee
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  2. J. A. Esfahani
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Correspondence to J. A. Esfahani.

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Fanaee, S.A., Esfahani, J.A. The analytical modeling of propane-oxygen mixture at catalytic micro-channel. Heat Mass Transfer 50, 1365–1373 (2014). https://doi.org/10.1007/s00231-014-1344-y

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