Colloid transport in dual-permeability media
Keywords: راه حل تحلیلی; Analytical solution; Colloid retention; Optimization; Solute transport
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Modified Bateman solution for identical eigenvalues
Keywords: راه حل تحلیلی; Bateman equations; Radionuclides; Identical eigenvalues; Indeterminacy; Decay chain; Analytical solution
Response of multiwall carbon nanotubes to impact loading
Keywords: راه حل تحلیلی; Multiwall carbon nanotube; Dynamic behavior; Impact loading; Analytical solution
An effective membrane element based on analytical solution
Keywords: راه حل تحلیلی; Analytical solution; Airy stress function; Hybrid stress element; Drilling degrees of freedom; Plane element
A unified solution for self-equilibrium and super-stability of rhombic truncated regular polyhedral tensegrities
Keywords: راه حل تحلیلی; Tensegrity; Self-equilibrium; Super-stability; Analytical solution
Accurate determination of stress distributions in adhesively bonded homogeneous and heterogeneous double-lap joints
Keywords: راه حل تحلیلی; Adhesive double-lap joint; Stress analysis; Analytical solution; Full layerwise theory
Analytical models of thermal performance of solar air heaters of double-parallel flow and double-pass counter flow
Keywords: راه حل تحلیلی; Solar air heater; Mathematical modelling; Analytical solution
Analytical solution for evaluating the thermal performance and efficiency of convective–radiative straight fins with various profiles and considering all non-linearities
Keywords: راه حل تحلیلی; Analytical solution; Longitudinal convective–radiative fins; Linear thermal conductivity and surface emissivity-temperature variations; Power law heat transfer coefficient; Non-uniform internal heat generation
Analytical closed-form solutions for size-dependent static pull-in behavior in electrostatic micro-actuators via Fredholm integral equation
Keywords: راه حل تحلیلی; Micro-actuator; Size effect; Pull-in voltage; Analytical solution
Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory
Keywords: راه حل تحلیلی; Third-order shear deformation plate theory; Functionally graded materials; Modified couple stress theory; Analytical solution
Exact solution to the inverse Womersley problem for pulsatile flows in cylindrical vessels, with application to magnetic particle targeting
Keywords: راه حل تحلیلی; Pulsatile laminar flow; Inverse Womersley problem; Analytical solution; Magnetic particle targeting
A simple refined theory for bending, buckling, and vibration of thick plates resting on elastic foundation
Keywords: راه حل تحلیلی; Analytical solution; Bending; Buckling; Vibration; Plate theory; Elastic foundation
Heat conduction in laminate multilayer bodies with applied finite heat source
Keywords: راه حل تحلیلی; Multilayer laminate; Composite heat conduction; Heat spreader; Non-uniform heating; Analytical solution
A variational iteration solution for elastic–plastic impact of polymer/clay nanocomposite plates with or without global lateral deflection, employing an enhanced contact law
Keywords: راه حل تحلیلی; Elastic–plastic indentation; Nanocomposite; Plate impact; Variational iteration; Analytical solution
A comparative study of longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with multiple nonlinearities
Keywords: راه حل تحلیلی; Analytical solution; Longitudinal convective–radiative fins; Linear emissivity and thermal conductivity-temperature variations; Power law heat transfer coefficient
Analytical solutions for membrane wetting calculations based on log-normal and normal distribution functions for CO2 absorption by a hollow fiber membrane contactor
Keywords: راه حل تحلیلی; Analytical solution; Carbon dioxide; Hollow fiber membrane contactor; Log-normal distribution; Normal distribution; Wetting;
Primary and secondary bifurcations of a compressible hyperelastic layer: Asymptotic model equations and solutions
Keywords: راه حل تحلیلی; Hyperelastic layer; Post-buckling state; Analytical solution; Asymptotic method; Secondary bifurcation
Analytical and numerical study for two-phase stratified-flow in a plane channel subjected to different thermal boundary conditions
Keywords: راه حل تحلیلی; Analytical solution; Level-set-method; Stratified-flow; Channel; Forced-convection; Phase-change
Universal scaling of spontaneous imbibition for arbitrary petrophysical properties: Water-wet and mixed-wet states and Handy's conjecture
Keywords: راه حل تحلیلی; wettability; imbibition; analytical solution; formation evaluation; time scales; scaling group
Propagation of sound waves through a spatially homogeneous but smoothly time-dependent medium
Keywords: راه حل تحلیلی; Sound wave; Non-stationary fluid; Frequency transformation; Analytical solution
3-D transient analytical solution based on Green's function to temperature field in friction stir welding
Keywords: راه حل تحلیلی; Analytical solution; Temperature field; FSW; Preheating stage; Green's function;
Extension to nonlinear adsorption isotherms of exact analytical solutions to mass diffusion problems
Keywords: راه حل تحلیلی; Mass diffusion; Desorption; Sorption; Analytical solution; Parameter identification; Transient response
Analytical solution for water surface profile along a side weir in a triangular channel
Keywords: راه حل تحلیلی; Side weirs; Triangular channels; Analytical solution; Water surface profile
The calculation of roll torque and roll separating force for broadside rolling by stream function method
Keywords: راه حل تحلیلی; Broadside rolling; Roll separating force; Strain rate vector; Stream function; Analytical solution
Contact of an asymmetrical rounded apex wedge with a half plane
Keywords: راه حل تحلیلی; Contact; Asymmetrical rounded apex wedge; Analytical solution
Axisymmetric analytical solution for pulsed laser melting of metals
Keywords: راه حل تحلیلی; Laser heating; Melting phase change; Axisymmetric model; Analytical solution
An analytical solution of a moisture transfer problem for coupled room and building component
Keywords: راه حل تحلیلی; Room model; Analytical solution; Moisture buffering; Coupled room and building component simulations;
An analytical solution for thermal shock analysis of multiwall carbon nanotubes
Keywords: راه حل تحلیلی; Multiwall carbon nanotubes; Thermal shock; Dynamic behavior; Analytical solution;
Singularity in a mathematical model of emulsion liquid membrane
Keywords: راه حل تحلیلی; Mathematical model; Emulsion liquid membrane; Analytical solution; Eigenfunction; Singularity
Using transient plane source sensor for determination of thermal properties of vacuum insulation panels
Keywords: راه حل تحلیلی; Thermal properties; Transient plane source; Vacuum insulation panel; Analytical solution; Numerical simulation; Measurement
Analytical solutions to 1-D horizontal and vertical water infiltration in saturated/unsaturated soils considering time-varying rainfall
Keywords: راه حل تحلیلی; Unsaturated soil; Richards equation; Analytical solution; Horizontal and vertical infiltration
The stress concentration factor for slightly roughened random surfaces: Analytical solution
Keywords: راه حل تحلیلی; Stress concentration factor; Random rough surfaces; Analytical solution
A fractional model of the diffusion equation and its analytical solution using Laplace transform
Keywords: راه حل تحلیلی; Homotopy perturbation method; Laplace transform method; Fractional derivatives; Diffusion equation; Mittag-Leffler function; Analytical solution
Reactive silica transport in fractured porous media: Analytical solution for a single fracture
Keywords: راه حل تحلیلی; Silica transport; Fracture; Porous medium; Analytical solution; Laplace transformation
Thermal and velocity slip effects on the peristaltic flow of a six constant Jeffrey’s fluid model
Keywords: راه حل تحلیلی; Peristaltic flow; Six constant Jeffrey’s model; Asymmetric channel; Analytical solution; Slip conditions; Heat transfer; Inclined channel
Power series solution for ponded infiltration on sloping surfaces
Keywords: راه حل تحلیلی; Analytical solution; Infiltration; Sloping surfaces;
Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows
Keywords: راه حل تحلیلی; Lattice Boltzmann model; Analytical solution; Axi-symmetric flow;
An analytic solution for combined wave diffraction and refraction around a vertical cylinder with idealized scour pit
Keywords: راه حل تحلیلی; Analytical solution; Mild slope wave equation; Water waves; Circular cylinder; Scour pit
Elasto-plastic coupling analysis of circular openings in elasto-brittle-plastic rock mass
Keywords: راه حل تحلیلی; Circular opening; Cyclic loading and unloading; Elasto-plastic coupling; Analytical solution; FLAC3D
An improved solution for diffusion waves to overland flow
Keywords: راه حل تحلیلی; Diffusion waves; Overland flow; Analytical solution; De Hoog algorithm; Stehfest algorithm
Numerical and analytical solutions of an ODE: Strengths and weaknesses of the analytical series solution
Keywords: راه حل تحلیلی; Non-linear differential equation; Analytical solution; Numerical solution; Series
The small displacement elastic solution to the ball-on-ring testing method
Keywords: راه حل تحلیلی; Strength; Bi-axial; Ceramics; Analytical solution; Finite elements
Consolidation of composite foundation improved by geosynthetic-encased stone columns
Keywords: راه حل تحلیلی; Consolidation; Geosynthetic-encased stone columns; Analytical solution; Composite foundation
Fully developed mixed convection flow of a nanofluid through an inclined channel filled with a porous medium
Keywords: راه حل تحلیلی; Mixed convection; Porous medium; Fully developed flow; Analytical solution; Nanofluids
On the enhanced drag force induced by permeation through a filtration membrane
Keywords: راه حل تحلیلی; Sphere drag correction; Particle deposition; Membrane separation; Analytical solution
Analysis of micro/nanobridge test based on nonlocal elasticity
Keywords: راه حل تحلیلی; Micro/nanobridge; Nonlocal elasticity; Timoshenko beam; Compliant substrate; Deflection; Analytical solution
Modeling volatilization of residual VOCs in unsaturated zones: A moving boundary problem
Keywords: راه حل تحلیلی; Analytical solution; Finite difference model; NAPL; Vadose zone; VOC;
An equivalent single-layer model for magnetoelectroelastic multilayered plate dynamics
Keywords: راه حل تحلیلی; Smart laminated plates; Free vibration; Forced vibrations; Analytical solution
Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow
Keywords: راه حل تحلیلی; Entropy generation; Rotating cylinders; MHD flow; Analytical solution
Entropy generation in a hollow cylinder with temperature dependent thermal conductivity and internal heat generation with convective–radiative surface cooling
Keywords: راه حل تحلیلی; Entropy generation; Asymmetric cooled hollow cylinder; Convection-radiation heat transfer; Variable thermal conductivity; Analytical solution