Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid
Copyright policy )Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid
The helical flows of couple-stress fluids in a straight circular cylinder are studied in the framework of the newly developed, fully determinate linear couple-stress theory. The fluid flow is generated by the helical motion of the cylinder with time-dependent velocity. Also, the couple-stress vector is given on the cylindrical surface and the nonslip condition is considered. Using the integral transform method, analytical solutions to the axial velocity, azimuthal velocity, nonsymmetric force-stress tensor, and couple-stress vector are obtained. The obtained solutions incorporate the characteristic material length scale, which is essential to understand the fluid behavior at microscales. If characteristic length of the couple-stress fluid is zero, the results to the classical fluid are recovered. The influence of the scale parameter on the fluid velocity, axial flow rate, force-stress tensor, and couple-stress vector is analyzed by numerical calculus and graphical illustrations. It is found that the small values of the scale parameter have a significant influence on the flow parameters.
- Air University (Islamabad) Pakistan
- Air University United States
- University of Management and Technology United States
- University of Management and Technology Pakistan
- Air University Pakistan
Heat Transfer Enhancement in Nanofluids, Viscous stress tensor, Tensor (intrinsic definition), QC1-999, Strain rate tensor, Non-Newtonian fluids, Materials Science, Computational Mechanics, Biomedical Engineering, Cylinder, Geometry, FOS: Medical engineering, Mechanics, Stress (linguistics), Mathematical analysis, Engineering, Fluid dynamics, Angular velocity, Materials Chemistry, FOS: Mathematics, Classical mechanics, Physics, Linguistics, Flow Control, Cauchy stress tensor, Herschel–Bulkley fluid, FOS: Philosophy, ethics and religion, Philosophy, Physical Sciences, Length scale, FOS: Languages and literature, Vortex-Induced Vibrations in Fluid Flow, Nonlocal Continuum Mechanics in Nanoscale Materials, Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics, Flow (mathematics), Mathematics
Heat Transfer Enhancement in Nanofluids, Viscous stress tensor, Tensor (intrinsic definition), QC1-999, Strain rate tensor, Non-Newtonian fluids, Materials Science, Computational Mechanics, Biomedical Engineering, Cylinder, Geometry, FOS: Medical engineering, Mechanics, Stress (linguistics), Mathematical analysis, Engineering, Fluid dynamics, Angular velocity, Materials Chemistry, FOS: Mathematics, Classical mechanics, Physics, Linguistics, Flow Control, Cauchy stress tensor, Herschel–Bulkley fluid, FOS: Philosophy, ethics and religion, Philosophy, Physical Sciences, Length scale, FOS: Languages and literature, Vortex-Induced Vibrations in Fluid Flow, Nonlocal Continuum Mechanics in Nanoscale Materials, Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics, Flow (mathematics), Mathematics
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