In this paper, multi-objective and thermodynamic optimisation procedures are used to investigate the performance of a parabolic trough receiver with perforated plate inserts. Three dimensionless perforated plate geometrical parameters considered in the optimisation include the dimensionless orientation angle, the dimensionless plate diameter and the plate spacing per unit meter. The Reynolds nu...

This paper concerns the second law analysis of a viscoelastic fluid over a stretching sheet subject to a transverse magnetic field with heat and mass transfer. The velocity, temperature and concentration profiles are obtained analytically using Kummer’s functions. The effects of the magnetic and viscoelastic parameters on both the longitudianl and the transverse velocities are investigated. The...

We explore the phenomenon of segregation and pattern formation in the complex system of a rotating horizontal cylinder completely filled with a dilute suspension of non-Brownian particles. A general dimensionless analysis is presented, which reveals the importance of the different dimensionless parameters involved. A detailed account of the mechanism of segregation and formation of axial bands ...

The search of dimensionless groups in engineering problems ruled by partial differential equations presents many problems whereby it is an untreated topic in the scientific literature. The main difficulties arise in the suitable choice of the reference quantities needed to define the dimensionless variables which must also be normalized, i.e., extended to the range of values (0,1). After settin...

The self-assembly of the protein shell ("capsid") of a virus appears to obey the law of mass action (LMA) despite the fact that viral assembly is a nonequilibrium process. In this paper we examine a model for capsid assembly, the "assembly line model," that can be analyzed analytically. We show that, in this model, efficient viral assembly from a supersaturated solution is characterized by a sh...

This paper investigates the deformation of ferrofluid marbles in the presence of a permanent magnet. Ferrofluid marbles are formed using a water-based ferrofluid and 1 μm hydrophobic polytetrafluoride particles. A marble placed on a Teflon coated glass plate deforms under gravity. In the presence of a permanent magnet, the marble is further deformed with a larger contact area. The geometric par...

This work reports an analytical solution for the solidification of a superheating phase change material PCM contained in a rectangular enclosure with a finite height. The analytical solution has been obtained by solving nondimensional energy equations by using the perturbation method for a small perturbation parameter: the Stefan number, ε. This analytical solution, which takes into account the...

The yield inception of a deformable hard coated half space indented by a rigid sphere is studied. The effect of coating thickness, sphere radius and material properties of both the coating and substrate on the critical contact parameters at yield inception is investigated. Dimensionless empirical expressions for the critical load, critical contact area and critical interference are derived as f...

SUMMARY This paper outlines the importance of tip leakage flows in axial fans as a source of loss and relates the dimensionless loss analytically to a range of dimensionless parameters by application of a jet loss theory due to Rains. Improved vortex shedding models are also presented. From these models theoretical predictions of lift coefficient reduction are compared with published experiment...