William Mong Visiting Research Fellowship Title: NONLINEAR CONVECTION IN PURE WATER Speaker: Prof. P. Kandaswamy Department of Mathematics Bharathiar University Tamil Nadu, India Date: 18 March, 2010 (Thursday) Time: 2:30 pm Venue: Room 7-37, Haking Wong Building, HKU Water unlike other fluids exhibits an anomalous density temperature behavior around 4o C. On either side of 4o C irrespective of whether the temperature increases or decreases the density decreases. Such behavior is uncommon in other fluids under NTP. This anomalous density behavior of water has telling advantageous effects on the heat and mass transfer in pure water around 4o C. Convection in pure water contained in an enclosure with an operating temperature range 0 – 8o C is found to have the minimum heat transferred from the 8o C wall to 0o C wall helping the marine organisms escape from freezing. This also is found to prevent contaminants propagate from more concentrated regions to pure water regions. ALL INTERESTED ARE WELCOME

Microfluidics enables manipulation of fluids into complex structures with a high degree of control. By employing drops and jets as templates, materials with complex structures have been generated with high uniformity. The ability to continuously and reliably generate these materials makes microfluidics ideal not only for fabricating conventional materials more efficiently, but also for exploring new types of materials. In this talk, we describe new developments for the controlled fabrication of monodisperse single and multiple emulsions using microfluidics. In particular, we will illustrate how microfluidic techniques can be used to generate functional vesicles for the encapsulation and release of actives. Moreover, we will also demonstrate the use of microfluidic double emulsion drops as microreactors for fabricating calcium-phosphate based materials, such as hydroxyapatite. We will conclude the talk with the challenges of taking microfluidics to a new level and describe efforts to meet these challenges.

We review the contribution of various singular integral/integro-differential equations to a variety of interesting mathematical models in the linear theory of deformation of elastic solids. In particular, we include singular integral equations arising in the analysis of so-called micropolar or Cosserat materials, singular integro-differential equations developed from a linear theory of elastic boundary reinforcement for plane deformations of elastic solids and, finally, an interesting singular integro-differential equation of Cauchy-type arising from a theory of linear elastic deformations incorporating surface mechanics via the surface elasticity model of Gurtin and Murdoch. In each case, we present analytical solutions of the corresponding boundary value problems in the form of either integral or complex potentials.

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