Multiphysics Flows

Multiphysics flows describe fluid motions that are strongly coupled to other physical processes such as heat transfer, species transport, phase change, electromagnetism or structural deformation. In these systems, Navier–Stokes equations are augmented by one or more additional field equations—energy conservation, species balance, Maxwell’s equations or elasticity equations—yielding a tightly interdependent set of nonlinear partial-differential equations. Typical examples include boiling and cavitating flows (where fluid motion drives and is driven by vapour–liquid phase transitions), electrohydrodynamic pumps (where electric fields induce Lorentz forces on conductive fluids), reactive transport in porous media (where flow and chemical reactions determine permeability and thermal fields) and fluid-structure interaction (where flow-induced forces deform boundaries, altering the flow). Such problems span length scales from nanometres—where stochastic fluctuations control nucleation—to metres—where large-scale instabilities define heat-exchanger performance—and require multiscale numerical methods (DNS, LES, phase-field, finite-element FSI and poromechanics) combined with adaptive meshing, implicit solvers and energy-stable schemes. Applications range from microfluidic reactors and fuel sprays to geothermal energy, biomedical devices and civil-engineering structures, making multiphysics flows central to emerging technologies in energy, environment and healthcare.

Research from Nature Portfolio

A mesoscale fluctuating-hydrodynamics model has been developed to simulate boiling and cavitation from stochastic nucleation to macroscopic bubble growth and collapse. By coupling a diffuse-interface formulation with thermal fluctuations, the study reveals how nanometre-scale wettability heterogeneities on a surface dramatically reduce the superheat required for bubble nucleation, offering a predictive framework for surface-engineered boiling applications.

A proof-of-concept study has validated patient-specific computational fluid-dynamics models of hepatic radioembolization against in vivo PET/CT measurements. Three-dimensional hemodynamic simulations, incorporating actual infusion parameters, predicted microsphere distributions within a few percentage points of observed activity in each liver segment. This work demonstrates the feasibility of integrating multiphysics simulations—fluid flow, particulate tracking and radiation transport—into clinical decision-making for tailored cancer therapies.

Research from all publishers

A three-dimensional inviscid study of membrane flutter has systematically mapped stability thresholds and large-amplitude dynamics of tensioned rectangular sheets shedding vortex-sheet wakes. By varying mass ratio, pretension and boundary constraints, the work identifies distinct flutter regimes—steady, periodic and chaotic—and provides benchmark data for reduced-order aeroelastic models in energy-harvesting foils and thin-film flow control.

A weakly nonlinear analysis of Darcy–Bénard convection in a horizontal porous layer with downward throughflow quantifies how even modest Péclet numbers shift the critical Darcy–Rayleigh number and trigger subcritical and oscillatory instabilities. This study underscores the importance of advective transport in geothermal reservoirs and packed-bed reactors, and provides amplitude equations for flow-control strategies in porous media.

Multiphysics Flows publication trend

The graph below shows the total number of articles in multiphysics flows across all publications each year (not limited to Nature Index journals).

Technical terms

Multiphysics flow: A fluid flow that is coupled to one or more additional physical phenomena (thermal, chemical, electromagnetic or structural), requiring simultaneous solution of multiple field equations.

Phase-field method: A diffuse-interface modelling approach in which a continuous order parameter evolves according to a free-energy functional (Cahn–Hilliard equation) and couples to Navier–Stokes to capture interfacial dynamics without explicit front tracking.

Boussinesq approximation: An assumption in buoyancy-driven flows that density variations are negligible except in the gravitational term, simplifying coupling of momentum and thermal equations.

Darcy–Bénard convection: Thermal convection in a porous medium, governed by Darcy’s law and characterised by the Darcy–Rayleigh number, indicating the onset of buoyancy-driven instability.

Flutter: A self-sustained oscillation resulting from fluid-structure interaction, occurring when energy transfer from the fluid to a flexible structure exceeds structural damping.

References

1. A nanoscale view of the origin of boiling and its dynamics. Nature Communications (2023).
2. A proof-of-concept study of the in-vivo validation of a computational fluid dynamics model of personalized radioembolization. Scientific Reports (2021).
3. Membrane flutter in three-dimensional inviscid flow. Journal of Fluid Mechanics (2022).
4. A weakly nonlinear analysis of the effect of vertical throughflow on Darcy–Bénard convection. Physics of Fluids (2023).