Thermal-Fluids II: Heat Transfer (EML3016)

Course Description

Thermal-Fluids II: Heat Transfer addresses steady and time-dependent conduction and heat exchanger analysis as the second course of the thermal-fluids sequence at the FAMU-FSU College of Engineering, which publishes it at 3 credits.

Within the SCNS taxonomy, EML is the Mechanical Engineering prefix. Contact hours are approximately 45 at the standard university lecture ratio. The number appears at approximately three Florida institutions.

Read the collision flag below before anything else. At the University of West Florida this number denotes fluid mechanics — "further study of thermal fluid systems including an introduction to fluid mechanics; fluid statics, Bernoulli and energy equations, open and closed flow, drag and lift" — which is a different subject from heat transfer. The titles are nearly identical and the content is not.

Heat transfer completes the thermal sciences. Thermodynamics tells you how much energy moves and what the limits are; heat transfer tells you how fast it moves and therefore how large the equipment must be. That rate question is what turns thermodynamic analysis into hardware, and it is why heat transfer is the course that most directly sizes real thermal systems.

Learning Outcomes

Required Outcomes

• Describe the three modes of heat transfer and identify which dominate in a situation.
• Apply Fourier's law and calculate conduction in plane walls, cylinders, and spheres.
• Apply thermal resistance networks to composite systems.
• Account for contact resistance at interfaces.
• Analyze conduction with internal heat generation.
• Analyze extended surfaces and calculate fin efficiency and effectiveness.
• Determine the critical radius of insulation and explain the counterintuitive result.
• Analyze two-dimensional steady conduction using shape factors and numerical methods.
• Apply the lumped capacitance method and evaluate the Biot number criterion.
• Analyze transient conduction in one-dimensional solids using charts and one-term approximations.
• Analyze semi-infinite solids and periodic heating.
• Apply finite-difference methods to conduction problems.
• Describe convection and the origin of the convection coefficient.
• Describe thermal and velocity boundary layers and their relationship.
• Apply correlations for external forced convection over plates, cylinders, and spheres.
• Apply correlations for internal forced convection in pipes and ducts.
• Apply correlations for free convection and evaluate the Rayleigh number.
• Describe boiling and condensation heat transfer.
• Analyze heat exchangers using the log mean temperature difference method.
• Analyze heat exchangers using the effectiveness-NTU method.
• Describe heat exchanger types, fouling, and selection criteria.
• Apply the Stefan-Boltzmann law and calculate radiation exchange.
• Apply view factors and analyze radiation between surfaces.
• Describe emissivity, absorptivity, and selective surfaces.
• Solve combined-mode problems involving conduction, convection, and radiation.

Optional Outcomes

• Describe mass transfer analogies.
• Describe thermal system design and optimization.
• Describe electronics cooling and thermal management.
• Describe solar thermal applications.
• Use computational tools for thermal analysis.
• Relate content to the FE examination specification.

Major Topics

Required Topics

• Modes of heat transfer
• Fourier's law and steady conduction
• Thermal resistance networks
• Contact resistance
• Conduction with heat generation
• Fins and extended surfaces
• Critical radius of insulation
• Two-dimensional conduction
• Lumped capacitance and the Biot number
• Transient conduction
• Semi-infinite solids
• Finite-difference methods
• Convection fundamentals
• Thermal and velocity boundary layers
• External forced convection
• Internal forced convection
• Free convection
• Boiling and condensation
• Heat exchangers: LMTD method
• Heat exchangers: effectiveness-NTU
• Heat exchanger types and fouling
• Radiation fundamentals
• View factors and surface exchange
• Emissivity and radiative properties
• Combined-mode problems

Optional Topics

• Mass transfer analogies
• Thermal system design
• Electronics cooling
• Solar thermal applications
• Computational thermal analysis
• FE examination alignment

Resources & Tools

• Fundamentals of Heat and Mass Transfer (Incropera, DeWitt, Bergman & Lavine) — the standard, and the book practising thermal engineers keep.
• Heat and Mass Transfer: Fundamentals and Applications (Çengel & Ghajar) — more approachable, with excellent figures.
• A Heat Transfer Textbook (Lienhard & Lienhard) — free and legally downloadable from MIT; genuinely excellent and costs nothing.
• Schaum's Outline of Heat Transfer — inexpensive and problem-dense.
• NCEES FE Reference Handbook — free; the heat transfer section including the correlations is examined.
• Property tables and software — CoolProp is free and open source for fluid and material properties; EES (Engineering Equation Solver) is widely used in thermal courses and many institutions license it.
• Python or MATLAB — for finite-difference conduction and iterative correlation problems; coding a transient conduction solver is one of the most instructive exercises in the course.
• ANSYS, COMSOL, or SimScale — thermal simulation; useful once you can check the result by hand.
• MIT OpenCourseWare and Çengel companion resources — free supplementary material.
• An infrared camera, if the laboratory has one — seeing a fin's temperature distribution or a thermal bridge directly makes the theory vivid.

Career Pathways

• Thermal engineer — SOC 17-2141; a defined specialization in aerospace, electronics, and energy.
• HVAC and building systems engineer — a very large Florida employment sector, and heat transfer plus psychrometrics is its technical core.
• Power generation engineer — boilers, condensers, and heat exchangers; FPL, Duke Energy Florida, TECO, JEA, and Siemens Energy in Orlando.
• Electronics cooling and thermal management engineer — a growing specialization as power densities rise, and directly relevant to Florida's electronics and defence manufacturers.
• Aerospace thermal engineer — spacecraft thermal control is a distinct discipline, and the Space Coast is a direct pathway.
• Process and chemical engineer — heat exchanger networks are central to process design.
• Energy efficiency and building science — envelope performance, insulation, and load calculation.
• Refrigeration and cryogenics.
• Solar thermal and renewable energy — Florida's solar sector.
• Graduate study in thermal sciences.
• Licensed professional engineer — heat transfer is examined on the FE Mechanical, and the PE Mechanical HVAC and Refrigeration depth exam is built substantially on it.

Special Information

⚠⚠ EML3015 and EML3016 mean different subjects at different Florida universities

The most consequential transfer warning in this guide, and a genuine subject collision rather than a title variation.

• FAMU-FSU College of Engineering: EML3015C is "Thermal-Fluids I: Fluid Mechanics" (4 credits) and EML3016 is "Thermal-Fluids II: Heat Transfer" (3 credits).
• University of West Florida: EML3015 is "Thermal Fluid Systems I" (3 credits) and it is thermodynamics — first and second laws, power and refrigeration cycles — while EML3016 is "Thermal Fluid Systems II" (3 credits) and it is fluid mechanics — fluid statics, Bernoulli, drag and lift.
• So the same two numbers cover thermodynamics, fluid mechanics, and heat transfer in different orders at two SUS institutions. A student transferring EML3016 from UWF has taken fluid mechanics; a programme expecting FSU's EML3016 is expecting heat transfer.
• The suffix differs too. FSU uses EML3015C (integrated, 4 credits); UWF uses EML3015 (3 credits) with a separate EML3016L laboratory. Under SCNS the suffix is part of the number and equivalency does not cross it.
• Identify the course by its catalog description, never by its number or its title. "Thermal Fluid Systems II" and "Thermal-Fluids II" are nearly the same phrase and denote different subjects.
• This is a transfer-critical sequence. Thermodynamics, fluid mechanics, and heat transfer are prerequisites for design courses, and arriving having taken the wrong one costs a term.
• Get any transfer determination in writing from the receiving department, not from admissions, and give them the catalog description rather than the course number.
• Rule 11 applies — catalog content changes; verify against the current catalog for both institutions.

⚠ Thermal resistance is the mental model that makes conduction easy

• Conduction problems become circuit problems. A temperature difference is a voltage, a heat rate is a current, and a thermal resistance is a resistance — series and parallel combinations work exactly as they do electrically.
• Learn the resistance expressions for plane, cylindrical, and spherical geometries, plus convection and radiation resistances, and most steady problems collapse to a network you can solve by inspection.
• The dominant resistance controls the problem. Identifying it tells you immediately where design effort should go — adding insulation to a wall whose resistance is dominated by an air film accomplishes very little.
• Contact resistance is real and frequently dominant in bolted and pressed joints, which is why thermal interface materials exist and why electronics cooling designers care about them.
• Fins work by adding surface area, and fin efficiency quantifies how much of the added area is actually useful. A very long fin is mostly wasted material, which is why fin arrays look the way they do.
• The critical radius of insulation is genuinely counterintuitive: on a small-diameter pipe or wire, adding insulation can increase heat loss, because the added outer surface area outweighs the added conduction resistance. It is examinable and it surprises people professionally.
• The Biot number decides your method. A small Biot number means the body is nearly isothermal and lumped capacitance applies; a large one means internal gradients matter and you need the transient charts or a numerical solution. Check it before choosing an approach.

⚠ Convection correlations are empirical — know their limits

• The convection coefficient is not a material property. It depends on geometry, flow regime, fluid properties, and temperature difference, and treating it as a constant to be looked up is the most common conceptual error.
• Correlations have validity ranges — Reynolds number, Prandtl number, geometry, and whether the flow is developing or fully developed — and using one outside its range produces a wrong answer with no warning. Check the conditions stated with the correlation.
• Evaluate properties at the correct temperature. Film temperature, bulk temperature, or surface temperature depending on the correlation — and getting this wrong shifts the answer noticeably.
• Free and forced convection are different regimes, and both can matter simultaneously; the ratio of Grashof to Reynolds squared tells you whether one dominates.
• Turbulent convection is far more effective than laminar, which is why heat exchanger design promotes turbulence deliberately despite the pressure-drop penalty. That trade-off — heat transfer against pumping power — is the central design tension in thermal systems.
• Boiling and condensation move enormous heat fluxes, which is why phase-change systems are used where compactness matters. The boiling curve and the critical heat flux are worth understanding: exceeding it causes a sudden, destructive temperature excursion.
• Expect correlations to be accurate to tens of percent, not to three significant figures. Reporting a convection result to five digits misrepresents what is known.

⚠ Radiation is fourth-power and it is not optional in Florida

• Radiation scales with absolute temperature to the fourth power, which means it is negligible at low temperatures and dominant at high ones — and the crossover is closer to everyday conditions than students expect.
• Use absolute temperature. Every radiation calculation requires kelvin or rankine, and using Celsius is the single most common error in the topic.
• Surface properties matter enormously. Emissivity varies from near zero for polished metal to near one for most non-metals, and a low-emissivity surface can reduce radiative loss by an order of magnitude — which is exactly what radiant barriers and low-e glazing exploit.
• Selective surfaces absorb strongly in the solar spectrum and emit weakly in the infrared, which is the basis of solar thermal collectors.
• View factors are geometry. They are tedious and they are the part of the calculation that determines how much of one surface's emission reaches another.
• Florida makes this practical. Solar gain through glazing, attic radiant barriers, roof surface reflectivity, and equipment operating in full sun are all radiation problems with real cost consequences in this climate. Building thermal design in Florida is dominated by cooling load rather than heating load, which inverts many of the intuitions in northern-authored textbooks.
• Combined modes are the realistic case. A surface loses heat by convection and radiation simultaneously, and treating them as parallel resistances is the practical method.
• Spacecraft thermal control is pure radiation, since there is no convection — a directly relevant point given Florida's launch sector.

⚠ An honest account of the workload

• The thermal-fluids and systems sequence is, with mechanics, where engineering programmes lose students. The reason is rarely intelligence — it is that these courses demand sustained daily problem-solving and reward nothing else.
• Budget eight to twelve hours a week outside class. Students who treat it like a lecture course to be revised before the exam fail it.
• Work problems without the solution visible. Reading a worked example produces the feeling of understanding and none of the ability.
• Draw the diagram every time — control volume, system boundary, free-body diagram, or block diagram. Skipping it is the most common cause of wrong answers.
• State your assumptions explicitly. Steady state, incompressible, adiabatic, fully developed, small angle — these courses are largely about knowing which assumptions apply, and writing them down is how you find out whether they do.
• Carry units through every step and check that the answer is physically plausible.
• Form a study group and explain solutions aloud.
• Go to office hours in week two, not week ten. These courses are cumulative.
• If you are struggling, the problem is usually the prerequisite — weak calculus or weak differential equations shows up here as an inability to finish problems you set up correctly.

⚠ The EGN / EML numbering divergence and the 2000/3000 boundary

• Florida teaches much of the mechanical engineering core under two prefixes. Many institutions use the general engineering prefix EGN — EGN3343 for thermodynamics, EGN3353C for fluid mechanics — while the FAMU-FSU College of Engineering and others use EML numbers.
• Under SCNS these are different courses, and equivalency does not cross prefixes automatically or cross a C suffix. Get transfer determinations in writing.
• Lower-division credit generally cannot satisfy an upper-division requirement, and the sophomore/junior pairing documented across the EGN prefix in this repository is the trap: the same subject appears at both levels and programmes use one consistently.
• Florida's 2+2 articulation guarantees admission to the State University System with junior standing, but it does not guarantee that a specific lower-division course satisfies a specific upper-division requirement in a limited-access engineering programme.
• Check with the receiving engineering department, and note that answers can differ between catalog years.
• Plan the mathematics and physics sequence early. Calculus and calculus-based physics are the real gatekeepers, and the engineering-technology variants close the A.B.E.T.-EAC route.

⚠ FE exam and PE licensure — this is the accredited engineering pathway

• This course sits inside an A.B.E.T.-EAC accredited engineering programme, which is the pathway that leads directly to professional licensure. That distinguishes it sharply from engineering technology, where the route to a P.E. is longer and carries additional experience requirements — see this repository's ETG, EET, and ETC guides.
• Florida licenses professional engineers under Chapter 471, Florida Statutes, through the Florida Board of Professional Engineers. The sequence is: A.B.E.T.-EAC accredited degree → Fundamentals of Engineering (FE) examination → qualifying experience → Principles and Practice of Engineering (PE) examination → licensure.
• This subject is directly examined on the FE Mechanical exam. Most students sit the FE in their final year while the material is fresh, and pass rates are markedly higher for recent graduates than for people who wait.
• The NCEES FE Reference Handbook is the only reference permitted in the exam, and it is free to download. Use it as your reference now so that finding an equation in it is automatic by exam day.
• Only a licensed P.E. may offer engineering services to the public in Florida, seal drawings, or use the title in a way implying licensure.
• Rule 11 applies — verify current requirements with FBPE and NCEES directly.

How Florida course levels affect transfer

The first digit of an SCNS number denotes the year of offering, not transferability. Courses at the 1000 and 2000 levels transfer transparently between Florida public institutions, and 3000 to 4000 is unproblematic since both are upper division. The boundary that actually matters is 2000 to 3000, where lower-division credit generally cannot satisfy an upper-division requirement.

EML3016 is 3 credits and approximately 45 contact hours. Expect a heavy problem load with extensive use of property tables, charts, and correlations — and note that a substantial part of the skill assessed is selecting the right correlation and checking its validity, not merely substituting into it.

Keep the textbook. Incropera or Çengel is the book thermal engineers keep on the shelf for a career, and the correlation and property tables are used in practice exactly as they are used in the course. And see the collision flag above — this number does not mean heat transfer everywhere in Florida.