Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer. [PDF]
Sci RepAlwuthaynani M +5 more
europepmc +1 more source
Investigation of Solution Accuracy in PFEM Simulations Using Benchmark Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The simulation of large topological changes, such as those occurring in Cone Penetration Testing (CPT) and vibratory pile driving, remains a major challenge in computational geomechanics. Excessive mesh distortions render classical approaches like the Finite Element Method (FEM) unsuitable, emphasizing the need for alternative methodologies ...
Antaeus Bettmann +4 more
wiley +1 more source
Optimizing entropy generation in MHD Maxwell dusty nanofluid flow via nanoparticle radius and inter-particle spacing on an inclined stretching sheet. [PDF]
Sci RepAwan AU +6 more
europepmc +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Counterflow heat exchangers (CHXs) thermally couple consumers and producers to a district heating network (DHN). Fluctuating loads and control actions naturally lead to unsteady operation conditions of the network and its components, posing a challenge for DHN models and CHX parameterizations based on Nusselt correlations that assume steady ...
Marten Klein +5 more
wiley +1 more source
Thermal enhancement of ternary hybrid Casson nanofluid in porous media: a sensitivity analysis study. [PDF]
Sci RepKenea G, Ibrahim W.
europepmc +1 more source
Mass Transport of a Two Phase Flow Through a Converging Gap With One Moving Wall
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Mechanical seals are designed to separate two fluid phases from each other, exemplified by the separation of ambient air and hydraulic oil in hydraulic cylinder applications. These seals necessarily include a converging gap, even at a microscopic level.
Matthias Graf +2 more
wiley +1 more source
Theoretical analysis for heat and mass transfer in bioconvective ternary hybrid nanofluid flow with entropy optimization. [PDF]
Discov NanoHaq F +4 more
europepmc +1 more source
Block‐Structured Meshing in Coupled Problems With Moving Domains
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Structured mesh generation is a delicate task in (multi‐physics) simulations on moving domains. For a given geometry, such meshes may be generated based on a block‐structure: This is a coarse‐scale representation of the geometry using blocks with the exact geometry and desired grading information assigned to the block edges. Based on the block‐
Teresa Schalk, Thomas‐Peter Fries
wiley +1 more source
Analysis of Cattaneo-Christov model in stratified and magnetized Powell-Eyring fluid flow with Joule heating and viscous dissipation. [PDF]
Sci RepArshad S, Farooq M, Hashim, Alotaibi H.
europepmc +1 more source
Mass‐Exchange Processes in a Biphasic TPM‐Phase‐Field Model
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The modelling of hydraulic fracturing processes in porous media gained significant interest in the past. Therefore, several approaches, such as the Biot theory or the Theory of Porous Media (TPM), were used as their modelling basis. In combination with the phase‐field method for a diffuse fracture description, especially the TPM has turned out
Yann Rivas +2 more
wiley +1 more source