The Extended Graetz Problem with Prescribed Wall Flux

نویسندگان

  • ELEFTHERIOS PAPOUTSAKIS
  • DORAlSWAMl RAMKRISHNA
چکیده

Methane-Hydrogen Sulfide System,” AZChE J . , 4, 211 (1958). Modell, M., and R. C. Reid, Thermodynamics and its Applications, Prentice-Hall. Inc., Englewood Cliffs, N. J. (1974). Peng, D.-Y. and D. B. Robinson, “A New Two Constant Equation of State,” Ind. Eng. Chem. Fundament&, 15, 59 (1976). , “A Rigorous Method for Predicting the Critical Properties of Multicomponent Systems from an Equation of State,” AZChE J., 23, 137 (1977). Reid, H. C., and B. L. Beegle, “Critical Point Criteria in Legendre Transform Notation,” ibid., 726 (1977). Schneider, G., “Phase Equilibria in Binary Fluid Systems of Hydrocarbons with Carbon Dioxide, Water, and Methane,” Chem. Eng. Progr. Symposium Ser. No. 88, 64, 9 (1968). , “High-pressure Phase Diagrams and Critical Properties of Fluid Mixtures,” Chemical Thermodynamics, A Specialist Periodical Report, Vol. 2, Chapt. 4, The Chemical Society, London, England (1978). Schneider, G . , 2. Alwani, E . Horvath and E. U . Franck, “Phasengleichgewichte und kritische Erscheinungen in binaren Mischsystemen bis 1500 bar,” Chemie-lng. Techn., 39, 649 (1967). Scott, R. L. and P. H. van Konynenburg, “Static PropertiesofSolutions. Van der Waals and Related Models for Hydrocarbon Mixtures,”Disc. Faraday SOC., 49, 87 (1970). Scott, R. L., “The Thermodynamics of Critical Phenomena in Fluid Mixtures,” Ber. Bunsenges. physik Chem. 76, 296 (1972). Soave, G . , “Equilibrium Constants from a Modified Redlich-Kwong Equation of State,” Chem. Eng. Sci., 27, 1197 (1972). Spear, R. R . , R. L. Robinson, Jr., and K. C . Chao, “Critical State of Ternary Mixtures and Equations of State,” Znd. Eng. Chem. Fundamentals, 10, 591 (1971). Spencer, C. F., T. E. Daubert and P. D. Danner, “A Critical Review of Correlations for the Critical Properties of Defined Mixtures,” AZChE J., 19, 522 (1973). Teja, A. S. and H. W. Kropholler, “Critical States of Mixtures in Which Azeotropic Behavior Persists in the Critical Region,” Chem. Eng. Sci., 30, 435 (1975). Teja,A. S. and J. S. Rowlinson, “The Prediction of Thermodynamic Properties of Fluids and Fluid Mixtures IV. Critical and Azentropic States,” ibid., 28, 529 (1973). Wilson, G. M., “A Modified Redlich-Kwong Equation of State, Application to General Physical Data Calculations,” paper presented at the 65th National AIChE Meeting, Cleveland, Ohio (1969). Yu, R. K. F., “An Investigation of Vaporization in the Displacement of Swan Hills Crude Oil by Rich Gas,” M. Eng. thesis, Univ. Calgary, Canada (1975).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conjugated Graetz Problems-i General Formalism and a Class of Solid-fluid Problems

Conjugated Graetz problems arise where two (or more) phases, with at least one phase in fully developed flow, exchange energy or mass across an intervening surface. In these problems the temperature or concentration fields are coupled through the conjugating conditions which express the continuity of fluxes and the rate of transfer. A general formalism is presented first for the analysis of the...

متن کامل

The Graetz–Nusselt problem extended to continuum flows with finite slip

Graetz and Nusselt studied heat transfer between a developed laminar fluid flow and a tube at constant wall temperature. Here, we extend the Graetz–Nusselt problem to dense fluid flows with partial wall slip. Its limits correspond to the classical problems for no-slip and no-shear flow. The amount of heat transfer is expressed by the local Nusselt number Nux, which is defined as the ratio of co...

متن کامل

Unsteady Heat and Mass Transfer Near the Stagnation-point on a Vertical Permeable Surface: a Comprehensive Report of Dual Solutions

In this paper, the problem of unsteady mixed convection boundary layer flow of a viscous incompressible fluid near the stagnation-point on a vertical permeable plate with both cases of prescribed wall temperature and prescribed wall heat flux is investigated numerically. Here, both assisting and opposing buoyancy forces are considered and studied. The non-linear coupled partial differential equ...

متن کامل

Mathematical Modeling and Numerical Investigation of Heat Flux at the External Surface of Cylinder of an Internal Combustion Engine

 Abstract: This study deals with modeling of heat flux at the external surface of combustion chamber wall in an internal combustion (IC) engine as a function of crank angle. This investigation results in an inverse heat conduction problem in the cylinder wall. Alifanov regularization method is used for solving this inverse problem. This problem study as an optimization problem in which a square...

متن کامل

Mathematical Analysis of Parallel Convective Exchangers with General Lateral Boundary Conditions Using Generalised Graetz Modes

We propose a mathematical analysis of parallel convective exchangers for any general but longitudinally invariant domains. We analyse general Dirichlet or Neumann prescribed boundary conditions at the outer solid domain. Our study provides general mathematical expressions for the solution of convection/diffusion problems. Explicit form of generalised solutions along longitudinal coordinate are ...

متن کامل

Simultaneous estimation of heat fluxes applied to the wall of a channel with turbulent flow using inverse analysis

The main purpose of this study is to estimate the step heat fluxes applied to the wall of a two-dimensional symmetric channel with turbulent flow. For inverse analysis, conjugate gradient method with adjoint problem is used. In order to calculate the flow field,   two equation model is used. In this study, adjoint problem is developed to conduct an inverse analysis of heat transfer in a channel...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004