Fluid mechanics governs everything from pipeline design and aircraft aerodynamics to blood flow and ocean currents. Assignments span fluid statics, inviscid flow theory, viscous pipe flow, boundary layer analysis, turbulence, and computational methods. Our fluid mechanics specialists deliver fully worked solutions with dimensional checks and correct flow regime identification.
| Fundamentals | Internal & External Flow | Advanced Topics |
|---|---|---|
| Fluid properties (viscosity, density, surface tension) | Laminar pipe flow (Hagen-Poiseuille) | Turbulence modelling (k-ε, k-ω) |
| Fluid statics (pressure, buoyancy, manometry) | Turbulent pipe flow (Moody diagram, Darcy-Weisbach) | Computational fluid dynamics (CFD) fundamentals |
| Reynolds number and flow classification | Pipe network analysis (series, parallel, Hardy-Cross) | Compressible flow (Mach number, normal shocks) |
| Continuity equation (mass conservation) | External flow (flat plate, cylinder, drag and lift) | Rotating machinery (pumps, turbines, fans) |
| Bernoulli equation (with and without losses) | Laminar and turbulent boundary layers | Non-Newtonian fluid flow |
| Momentum equation (linear and angular) | Open channel flow (Manning, hydraulic jump) | Two-phase flow |
| Dimensional analysis and similarity (Buckingham Pi) | Flow measurement (Venturi, orifice, Pitot) | Microfluidics |
Every fluid mechanics problem starts with classifying the flow: laminar or turbulent (Reynolds number), compressible or incompressible (Mach number < 0.3 for incompressible), internal or external, steady or unsteady. The equations that apply depend entirely on this classification. Applying the Hagen-Poiseuille equation to a turbulent flow (Re > 4000) is a conceptual error regardless of the arithmetic.
The Bernoulli equation applies only along a streamline, for steady, incompressible, inviscid flow with no energy addition or extraction. Every one of these conditions must hold before applying it. When viscous losses are present (pipe flow), use the extended Bernoulli equation with a head loss term. Forgetting to add pump head or subtract turbine head is a common mark-losing error.
Buckingham Pi theorem problems require: counting variables (n), identifying fundamental dimensions (m), computing number of Pi groups (n − m), selecting repeating variables (non-dimensionally independent), and forming each Pi group. The Pi groups must be dimensionless — verify by substituting dimensions. A single sign error in the exponent produces a dimensionally incorrect group.
Always check your answer using dimensional analysis, even if the question does not ask for it. Pressure has dimensions [M L⁻¹ T⁻²], velocity [L T⁻¹], flow rate [L³ T⁻¹]. If your calculated pressure has unexpected units or your velocity is negative when it should be positive, there is an error. Units checking is the fastest self-verification tool in fluid mechanics.
Bernoulli, pipe flow, boundary layers, dimensional analysis, open channel flow — full working with flow regime identification.
Yes. Introductory CFD assignments — implementing finite difference discretisation of the Navier-Stokes equations, solving the lid-driven cavity problem, or visualising flow fields — in MATLAB or Python (NumPy, matplotlib) are handled. Full CFD software (ANSYS Fluent, OpenFOAM) assignments for more advanced modules are also covered.
Yes. Pump selection (using pump curves, system curves, operating point), NPSH and cavitation analysis, series and parallel pump configurations, and hydraulic turbine (Pelton, Francis, Kaplan) efficiency analysis are all covered by our turbomachinery specialists.
Yes. Manning's equation, critical flow and Froude number, hydraulic jump analysis, gradually and rapidly varied flow (backwater curves), spillway design, and stormwater hydraulics are all covered — including the numerical methods (standard step method) used for non-uniform flow profiles.