Mathematical Problems in Engineering

Recent Advances in the Application of Differential Equations in Mechanical Engineering Problems


Status
Published

1University of California Riverside, Riverside, USA

2Academy of Romanian Scientists, Bucuresti, Romania

3Babol University of Technology, Babol, Iran


Recent Advances in the Application of Differential Equations in Mechanical Engineering Problems

Description

Differential equations arising in mechanics, physics, engineering, biological sciences, economics, and other fields of sciences may be classified into either linear or nonlinear formulated as initial or boundary value problems. The nonlinear problems are mostly difficult in obtaining a meaning full solution. Recent advances in the application of differential equations that particularly occurred in the simulation and modeling of rheological characteristics fluids are major subject of this special issue that has various applications in engineering and industrial disciplines which cannot be explained by a single constitutive relationship. Due to its wide range of applications in engineering, industry, technology, geophysical/astrophysical phenomena, and biomedical sciences several models have been suggested through the differential, integral, and rate type.

At present, there exist several theoretical and experimental problems in mechanical engineering which are still unsolved. This special issue aims to present scientific achievements and attempts to extend exact, semianalytical, and computational methods for mathematical models in mechanical engineering, in both theoretical and applied aspects. In addition, the goal is to establish an international forum to present new and novel developments and achievements in several branches of mechanical engineering.

Potential topics include but are not limited to the following:

  • Applied mathematical modeling and stress analysis in mechanics (elasticity, viscoelasticity, rock mechanics, fracture mechanics, fatigue mechanics, and fluid mechanics)
  • Numerical simulations and approximate technologies for the above topics, such as wavelet, heat balance, variational iterative, homotopy perturbation, homotopy analysis, perturbative series, differential transform, exp-function, integral transform methods finite element, volume and difference methods, and other new technologies
  • Numerical or analytical solutions of laminar/turbulent boundary layer flows
  • Convective heat and mass transfer analysis
  • Newtonian and non-Newtonian fluids
  • Nanofluids
  • Multiphase flow simulations
  • Fractional problems
  • Thermodynamics

Articles

  • Special Issue
  • - Volume 2018
  • - Article ID 1584920
  • - Editorial

Recent Advances in the Application of Differential Equations in Mechanical Engineering Problems

Rahmat Ellahi | Constantin Fetecau | Mohsen Sheikholeslami
  • Special Issue
  • - Volume 2017
  • - Article ID 6847647
  • - Review Article

Applications of Group Theoretical Methods to Non-Newtonian Fluid Flow Models: Survey of Results

Taha Aziz | F. M. Mahomed
  • Special Issue
  • - Volume 2017
  • - Article ID 5830279
  • - Research Article

CuO–Water Nanofluid Magnetohydrodynamic Natural Convection inside a Sinusoidal Annulus in Presence of Melting Heat Transfer

M. Sheikholeslami | R. Ellahi | C. Fetecau
  • Special Issue
  • - Volume 2017
  • - Article ID 9649524
  • - Research Article

Mathematical Model for Electric Field Sensor Based on Whispering Gallery Modes Using Navier’s Equation for Linear Elasticity

Amir R. Ali | Mohamed A. Kamel
  • Special Issue
  • - Volume 2017
  • - Article ID 8314615
  • - Research Article

A Comparative Study on Evaluation Methods of Fluid Forces on Cartesian Grids

Taku Nonomura | Junya Onishi
  • Special Issue
  • - Volume 2017
  • - Article ID 4829195
  • - Research Article

An Improved Finite Element Meshing Strategy for Dynamic Optimization Problems

Minliang Gong | Aipeng Jiang | ... | Yinghui Lin
  • Special Issue
  • - Volume 2017
  • - Article ID 8379609
  • - Research Article

A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems

Zhi-Wei Cao | Zhi-Fan Liu | ... | Xiao-Hong Wang
  • Special Issue
  • - Volume 2017
  • - Article ID 5903503
  • - Research Article

Finite Element Model for Linear Elastic Thick Shells Using Gradient Recovery Method

Achille Germain Feumo | Robert Nzengwa | Joseph Nkongho Anyi
  • Special Issue
  • - Volume 2017
  • - Article ID 2908964
  • - Research Article

Global Attractor of Thermoelastic Coupled Beam Equations with Structural Damping

Peirong Shi | Danxia Wang | Weiyi Chen
  • Special Issue
  • - Volume 2017
  • - Article ID 1568019
  • - Research Article

Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass

Binghui Wang | Zhihua Wang | Xi Zuo
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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