Heat and Mass Transport 2

Module aims

To provide a foundational introduction to transport phenomena, focussing on heat and mass transport in the context of biomedical engineering.

Learning outcomes

 Learning Outcomes - Knowledge and Understanding

  • To describe the physical factors governing the heat and mass transport

  • To explain the basic equations of heat and mass transfer. To simplify the transport equations in given cases, in particular by making use of dimensionless numbers and scaling
  • To discuss how transport processes influence the function of biomedical engineering systems
Learning Outcomes - Intellectual Skills
  • To formulate quantitative descriptions of heat and mass transport
  • To analyze transport related processes using advanced mathematics, dimensional analysis, and scaling
  • To be able to manipulate and solve the 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
  • To interpret how transport model predictions affect biomedical engineering systems
Learning Outcomes - Transferable Skills
  • problem solving
  • working effectively in groups (tutorials)
  • effective written communication (coursework)

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


Heat and Mass Transport 1, BE1-HHMT1 Fluid Mechanics, BE2-HFLM Mathematics 1, BE1-HMATH1

Teaching methods

Lectures: 18 hours
Study groups: 10 hours


Written exam: final examination 80%% weighting

Rubrics: There will be an approximately 1.5 hour final examination of approximately 4 questions. The examination will be partial open book, where you will be allowed to bring in approved written materials.

No type of previous exam answers or solutions will be available

●  Item 1:Problem sheet Title:Problem sheet 1 Description: Weighting: 5% 
●  Item 2:Problem sheet Title:Problem sheet 2 Description: Weighting: 5% 
●  Item 3:Problem sheet Title:Problem sheet 3 Description: Weighting: 5% 
●  Item 4:Problem sheet Title:Problem sheet 4 Description: Weighting: 5% 

Feedback : Feedback will be provided to the students using the following methods: - Immediate daily feedback on impromptu question-answer sessions during lecture - Immediate feedback on problem solving during tutorials (approx 1 per week) - Individualised feedback, marking and full solutions provided on all coursework assignments (within 2 weeks) - Immediate feedback during discussion with the instructor during office hours.

Reading list

Module leaders

Professor Darryl Overby