By Kuo-Tsong Yu, Xigang Yuan (auth.)
This booklet provides a brand new computational method referred to as Computational Mass move (CMT). It deals an method of conscientiously simulating the mass, warmth and momentum move lower than turbulent movement stipulations with assistance from newly released versions, specifically the C’2—εC’ version and the Reynolds mass flux version, particularly with reference to predictions of focus, temperature and pace distributions in chemical and comparable tactics. The e-book also will let readers to appreciate the interfacial phenomena accompanying the mass move approach and strategies for modeling the interfacial impact, resembling the impacts of Marangoni convection and Rayleigh convection. The CMT technique is proven through its functions to ordinary separation and chemical response methods and gear, together with distillation, absorption, adsorption and chemical reactors.
Professor Kuo-Tsong Yu is a Member of the chinese language Academy of Sciences. Dr. Xigang Yuan is a Professor on the institution of Chemical Engineering and know-how, Tianjin college, China.
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Additional resources for Introduction to Computational Mass Transfer: With Applications to Chemical Engineering
1), both T~ and ui are variables and the equation is not closed. 1 Equation of Energy Conservation and its Closure 21 If q and Cp are considered as constants, Eq. 1) becomes: oT~ oui T~ o2 T~ þ ¼a þ ST oxi oxi oxi ot ð2:1aÞ where a ¼ Ckp q is called thermal diffusivity. In turbulent heat transfer, the temperature is fluctuating. Similar to the instantaneous velocity, the instantaneous T~ can be resolved into time-averaged temperature T and fluctuating temperature T 0 as follows T~ ¼ T þ T 0 Substituting this in Eq.
Sommer TP, So MRC (1995) On the modeling of homogeneous turbulence in a stably stratified flow. Phys Fluids 7:2766–2777 6. Rhee GH, Sung HJ (1996) A nonlinear Low-Reynolds-number k-e model for turbulent separated and reattaching flow II, thermal field computation. Int J Heat and Mass Transfer 39(16):3465–3474 7. Versteeg HK, Malalasekera W (2005) An introduction to computational fluid dynamic. Wiley, New York 8. Chen CJ, Jaw SY (1998) Fundamentals of turbulence modeling. Taylor and Francis, London Chapter 3 Basic Models of Computational Mass Transfer Abstract The computational mass transfer (CMT) aims to find the concentration profile in process equipment, which is the most important basis for evaluating the process efficiency as well as the effectiveness of an existing mass transfer equipment.
O oc o o o2 oc ðui cÞ ¼ D þ ot oxk oxk oxi oxi oxi oxk Multiply by 2DoC =oxk to obtain o oc oc o oc oc oui oc oc D D þ ui þ 2D ot oxk oxk oxi oxk oxk oxk oxk oxi 2 2 o2 oc oc o c o c ¼D D À 2D2 oxk oxk oxk oxi oxi xk oxi xi ð3:12Þ Substituting ui ¼ Ui þ u0i and c ¼ C þ c0 to the foregoing equation and taking the time-average, we have o oC oC o oc0 oc0 o oC oC o oc0 oc0 D D þ þ Ui þ Ui D D oxk oxk oxk oxk ot oxk oxk ot oxi oxk oxk oxi ! 4 c02 À ec Model (Two-Equation Model) 39 oC Differentiate Eq.