# Biomedical Engineering (MEng)

## Bioengineering Science 2

### Module aims

In this module you willl build on the content of Bioengineering Science 1 by extending the principles of thermodynamics and introducing the topics of transport phenomena, focusing on heat and mass transport in the context of biomedical engineering. This module will also introduce you to some models relevant to the Fluid and Solid mechanics module.

### Learning outcomes

At the end of this module students will be able to: Describe the physical factors governing heat and mass transport Explain the basic equations of heat and mass transfer. Analyze transport related processes using advanced mathematics, dimensional analysis, and scaling Formulate, manipulate and solve equations governing heat and mass transport, to simplify these equations and to understand in what circumstances the simplified equations can be representative of real systems Discuss how transport processes and models are applicable to familiar and unfamiliar biomedical engineering systems

### Module syllabus

Introduction to the basic concepts and quantities of heat and mass transport, relationship to thermodynamics and fluid mechanics, description of units and dimensions, and the different modes of heat and mass transfer Concepts and definitions of control volume analysis, Eulerian and Lagrangian reference frames, and the material derivative Reynolds Transport Theorem, with relationship to the integral forms of conservation laws The divergence theorem and the differential form of the conservation laws 1-dimensional conduction and diffusion, the role of boundary conditions, analogy to electrical resistances and circuit diagrams Transient conduction and diffusion using the lumped-capacitance method, and conduction/diffusion through semi-infinite solids, using the error function Convective heat and mass transport, boundary layers, and relevant dimensionless numbers

### Teaching methods

Lectures 18 hours

Study groups 9 hours

### Assessments

Main written exam 80%

Two problem sheets 10% each