Penn model

Fig. 7.17 Plot of the calculated dielectric constant in silicon crystallites of different size. The broken curve corresponds to calculations based on the Penn model [Tsl], the dotted line corresponds to pseudopotential calculations [Wa5], while the full line is based on self-consistent linear screening calculation of hydrogenic impurities [AI4]. Redrawn from [AI4].

Jaros(1975a) o a k.2 Yes Approximated via Penn model Expanded in band functions, with subsequent use of approximate pseudopotential approach Parabolic... 

Jaros(1977) 0 ap2 Yes Matrix elements approximated via Penn model pseudopotential approach and Calculated... 

Blow and Inkson (1980a) Blow and Inkson (1982) o, model Free-electron-like, but with proper symmetry Core function matched to complex band functions Parabolic Parabolic, but with inclusion of higher minima... 

Note that the only modification to the Pennes model is a correction coefficient e in the Pennes source term. This correction coefficient can be viewed as a weighting function to correct the overestimation of the original Peimes perfusion term. An easy-to-use closed-form analytic expression was derived... 

Myers RH (1971) Response surface methodology. Allyn and Bacon, Inc., Boshm Nelson CR (1972) The prediction performance of the ERB-MIT-PENN model of the U.S. Economy. Am Econ Rev 62(5) 902-917... 

In 1948, physiologist Harry Pennes modeled the temperature profile in the human forearm by introducing the assumptions that the primary site of equilibration was the capillary bed and that each volume of tissue has a supply of arterial blood that is at the core temperature of the body. The Permes Bioheat equation has the form [16]... 

Some of the shortcomings of the Pennes model were addressed by Wulff [17] in a formulation that is essentially the same as used for common porous media... 

Using somewhat different approaches, Brinck and Werner [25] and Weinbaum et al. [26] have proposed that the shortcomings of the Pennes model can be overcome by introducing a heat transfer effectiveness factor e to modify the heat sink term as follows ... 

In Chitrphiromsri and Kuznetsov s model [47] heat and moisture transport in fire fighters protective clothing dining a flash fire exposure are investigated. The garment consists of three fabric layers (outer shell, moisture barrier and thermal barrier). The skin also has three layers epidermis, dermis and subcutaneous. The bio-heat transfer equation for the skin, based on the Pennes model [54], is written as ... 

Various other approaches to the description of energy bands in amorphous materials (particularly Si, Ge) have been proposed, including the cellular method, the use of a smeared version of the density of states of a crystalline phase, the study of finite clusters, and the isotropic Penn model. Probably there is something to be learned from all of these approaches to what remains a difficult problem. Much of the current interest in these materials has centered on the existence of a band gap, which seems to be implied by experimental results for suitably prepared amorphous Si and Ge. 

Frederick JH, Fujiwara Y, Penn JH, Yoshihara K, Petek H (1991) Models for stilbene photoisomerisation experimental and theoretical studies of the excited-states dynamics of 1,2-diphenylcycloalkenes. J Phys Chem 95 2845... 

Model Features CFDRC Fluent Penn State U. STAR-CD Japan STAR-CD N. America U. Kansas U. Miami U. South Carolina U. Victoria... 

Wang, Y. Wang, C. Y. Comparing variable density with constant density models for polymer electrolyte fuel cells. ECEC Technical Report 2003-02-, Penn State University University Park, PA, 2003. See also Modeling polymer electrolyte fuel cells with large density and velocity changes. J. Electrochem. Soc., in press. 

The mere notion of a model (with M. Penn). Math. Model. 1,1-12 (1980). 

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