《燃烧流体力学》（英文版）Chapter 1 Introduction

煤量甏圆家重点实验宝 HYDRODYNAMICS AND HEAT MASS TRANSFER IN COMBUSTION PROCEDURE National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn HYDRODYNAMICS AND HEAT MASS TRANSFER IN COMBUSTION PROCEDURE

煤量甏圆家重点实验宝 参考书 周力行《湍流两相流动与燃烧的数值模拟》 清华大学出版社,1991年 周力行《湍流气粒两相流动和燃烧的理论与数 值模拟》,1994年 范维澄,万跃鹏《流动及燃烧的模型与计算》, 中国科技大学出版社,1992年。 盖得·希特斯洛尼《多相流动和传热手册》,机 械工业出版社,1993年 National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn 参考书 周力行 《湍流两相流动与燃烧的数值模拟》， 清华大学出版社，1991年。 周力行 《湍流气粒两相流动和燃烧的理论与数 值模拟》，1994年。 范维澄，万跃鹏 《流动及燃烧的模型与计算》， 中国科技大学出版社，1992年。 盖得·希特斯洛尼 《多相流动和传热手册》，机 械工业出版社，1993年

煤量甏圆家重点实验宝 参考书(续) 王应时,范维澄,周力行,徐旭常《燃烧过程的数 值计算》,科学出版社,1986年。 岑可发,樊建人《工程气固两相流动的理论及计 算》,浙江大学出版社,1990年。 National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn 参考书（续） 王应时，范维澄，周力行，徐旭常 《燃烧过程的数 值计算》，科学出版社，1986年。 岑可发，樊建人 《工程气固两相流动的理论及计 算》，浙江大学出版社，1990年

煤量甏圆家重点实验宝 Chapter 1 Introduction § I Basic procedures Combustion Hydrodynamics Heat Transfer Mass Transfer Chemical Reaction Physical Procedures Chemical Procedure National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn Chapter 1 Introduction §I Basic Procedures Combustion Hydrodynamics Heat Transfer Mass Transfer Chemical Reaction Physical Procedures Chemical Procedure

煤烧圆家重点实验宝 Aim: Individual procedures Total procedure Note: Total Procedure f individual procedures National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn Aim: Individual Procedures Total Procedure Note: Total Procedure ≠∑individual Procedures

煤烧圆家重点实验宝 8I. Basic Equations 1. Reynolds Transport Principle 1)Two treatment methods a) Euler method-variation of defined space point b) Lagrange method-variation of defined fluid element Relation(for a fluid element) do ao ao +1 dt at National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn §II. Basic Equations 1. Reynolds Transport Principle 1) Two treatment methods a) Euler method-variation of defined space point b) Lagrange method-variation of defined fluid element Relation (for a fluid element) j j x v dt t d   +   =   

煤烧圆家重点实验宝 In general, consider a particular quantity, for control volume v ()=0x,18 Variation rate of dp along rue of control volume DCp Dt !∞ 「.n(s) D Ddy |+|. SVt 小|+。 v Dt I Lab. of coal combustion Hust vI at ax Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn In general, consider a particular quantity, , for control volume V, ( ) ( )   = v t  xi ,t V Variation rate of  along rue of control volume ( ) ( )                 +   = +           = + = + = =  V j j V j j V V V V v V t x V x v Dt D V VDt D V V Dt D V Dt D V Dt D Dt D                

煤量甏圆家重点实验宝 e. D POr p or D2=a0+△ This is called Reynolds transport Principle It means the variation rate of the intergral of o in the control volume moved along rue equals the change with time plus the varation ab of Coal Combustion, HUST introduced by convection in Euler coordinate

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn i.e. ( v ) V t x V Dt D V j j V                  +   = or  +   =  S vn dS Dt t D  This is called Reynolds Transport Principle. It means the variation rate of the intergral of  in the control volume moved along rue equals the change with time plus the varation introduced by convection in Euler coordinate

煤烧圆家重点实验宝 The generalized conversion law DΦ Dt +S2=0 Where Sa is the source term of o 2. Continue equation with p=p, Sa=0, O ○t National Lab, of Coal Combustion. HUST or O Wuhan 430074 P R CHINA Dt E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn The generalized conversion law + = 0  V S V Dt D   Where S is the source term of  2. Continue Equation with =r, S = 0, ( ) 0 0 0 =   + =   +   =  j j j j x v Dt D v t x Dt D r r r r or

煤烧圆家重点实验宝 3. Diffusion Equation wih=p、=YP,amd[SY=+w Dy+可 D +w|=0 ax With reynolds transport low and Fick law Dt v at ) OX Combustion, HUst n 430074P R CHINA E-mail:pcbnlcc@hust.edu.cn

NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn 3. Diffusion Equation with  = rs =Ysr, and    = + V s S s V S V j dS wV = 0         +   +  V s j s j V s w V x j Y V Dt D r   With Reynolds transport low and Fick Law ( ) ( )             = −             +   =   j s j j s j V s j j s V s x Y D x x j Y v V x Y t Y V Dt D r r  r r 