Smith, Andrew and Wilson, Stephen and Duffy, Brian and HallTaylor, N. (2010) Heat and fluid flow in a scrapedsurface heat exchanger containing a fluid with temperaturedependent viscosity. Journal of Engineering Mathematics, 68 (34). pp. 301325. ISSN 00220833

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Abstract
Scrapedsurface heat exchangers (SSHEs) are extensively used in a wide variety of industrial settings where the continuous processing of fluids and fluidlike materials is involved. The steady nonisothermal flow of a Newtonian fluid with temperaturedependent viscosity in a narrowgap SSHE when a constant temperature difference is imposed across the gap between the rotor and the stator is investigated. The mathematical model is formulated and the exact analytical solutions for the heat and fluid flow of a fluid with a general dependence of viscosity on temperature for a general blade shape are obtained. These solutions are then presented for the specific case of an exponential dependence of viscosity on temperature. Asymptotic methods are employed to investigate the behaviour of the solutions in several special limiting geometries and in the limits of weak and strong thermoviscosity. In particular, in the limit of strong thermoviscosity (i.e., strong heating or cooling and/or strong dependence of viscosity on temperature) the transverse and axial velocities become uniform in the bulk of the flow with boundary layers forming either just below the blade and just below the stationary upper wall or just above the blade and just above the moving lower wall. Results are presented for the most realistic case of a linear blade which illustrate the effect of varying the thermoviscosity of the fluid and the geometry of the SSHE on the flow.
Item type:  Article 

ID code:  29073 
Keywords:  scrapedsurface heat exchanger , thermoviscosity , temperaturedependent viscosity, asymptotic methods, Mathematics, Science, Engineering(all), Mathematics(all) 
Subjects:  Science > Mathematics Science 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Pure Administrator 
Date Deposited:  07 Mar 2011 23:24 
Last modified:  08 Jan 2016 01:24 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/29073 
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