FREE-CONVECTION STAGNATION-POINT BOUNDARY-LAYERS DRIVEN BY CATALYTIC SURFACE-REACTIONS .1. THE STEADY-STATES

被引:43
作者
CHAUDHARY, MA
MERKIN, JH
机构
[1] Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds
关键词
D O I
10.1007/BF00127583
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The free convection boundary-layer flow near a stagnation point driven by catalytic surface heating is considered. The case without fuel consumption is treated first, and it is shown that the steady state equations admit multiple solutions. Explicit expressions can be obtained for these solution branches and it is found that a hysteresis point occurs when the activation energy parameter epsilon=1/5. The effect of fuel consumption is seen to be characterised by the dimensionless parameter alpha and numerical results are obtained for a range of values of alpha and epsilon, as well as Prandtl number sigma and Schmidt number S-c. Multiple solutions are again observed and analytic expressions for the bifurcation points can be found when sigma = S-c. For sigma not equal S-c these have to be determined numerically.
引用
收藏
页码:145 / 171
页数:27
相关论文
共 22 条
[1]   CATALYTIC COMBUSTION IN A STAGNATION POINT BOUNDARY-LAYER [J].
ABLOW, CM ;
SCHECHTER, S ;
WISE, H .
COMBUSTION SCIENCE AND TECHNOLOGY, 1980, 22 (3-4) :107-117
[2]   THERMAL-EXPLOSION, TIMES TO IGNITION AND NEAR-CRITICAL BEHAVIOR IN UNIFORM-TEMPERATURE SYSTEMS .4. EFFECTS OF PROGRAMMED AMBIENT-TEMPERATURE [J].
BODDINGTON, T ;
FENG, CG ;
KAY, SR ;
GRAY, P .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1985, 81 :1795-1811
[3]   IGNITION OF A MOVING COMBUSTIBLE GAS STREAM [J].
CHAMBRE, PL .
JOURNAL OF CHEMICAL PHYSICS, 1956, 25 (03) :417-421
[4]   DIFFUSION FLAME STABILIZATION AT THE LEADING-EDGE OF A FUEL PLATE [J].
CHEN, CH ;
TIEN, JS .
COMBUSTION SCIENCE AND TECHNOLOGY, 1986, 50 (4-6) :283-306
[5]   TRANSIENT ANALYSIS OF HETEROGENEOUS AND HOMOGENEOUS COMBUSTION IN BOUNDARY-LAYER FLOW [J].
FAKHERI, A ;
BUCKIUS, RO .
COMBUSTION SCIENCE AND TECHNOLOGY, 1987, 53 (4-6) :259-275
[6]   EXTINCTION LIMITS OF PREMIXED CATALYZED FLAMES IN STAGNATION POINT FLOWS [J].
GIOVANGIGLI, V ;
CANDEL, S .
COMBUSTION SCIENCE AND TECHNOLOGY, 1986, 48 (1-2) :1-30
[7]   THERMAL-EXPLOSION - ESCAPE TIMES IN THE UNIFORM TEMPERATURE APPROXIMATION .1. EFFECTS OF PARAMETER PERTURBATIONS [J].
GRAY, BF ;
MERKIN, JH .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1990, 86 (04) :597-601
[8]   OSCILLATIONS OF AN EXOTHERMIC REACTION IN A CLOSED SYSTEM .1. APPROXIMATE (EXPONENTIAL) REPRESENTATION OF ARRHENIUS TEMPERATURE-DEPENDENCE [J].
GRAY, P ;
KAY, SR ;
SCOTT, SK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1988, 416 (1851) :321-341
[9]   OSCILLATIONS OF SIMPLE EXOTHERMIC REACTIONS IN A CLOSED SYSTEM .2. EXACT ARRHENIUS KINETICS [J].
KAY, SR ;
SCOTT, SK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1988, 416 (1851) :343-359
[10]   STAGNATION-POINT IGNITION OF A PREMIXED COMBUSTIBLE [J].
LAW, CK .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1978, 21 (11) :1363-1368