Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids,Nanofluids,Porous Media,and Micropolar Fluids offers new solutions for fluid mechanics problems,including heat transfer,boundary layer flow,flow in porous media,and nanofluids,using advanced methods. It discusses numerical solutions and asymptotic results for limiting cases and provides mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid.

Format: Paperback / softback
Length: 294 pages
Publication date: 14 September 2021
Publisher: Elsevier Science Publishing Co Inc

Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents novel similarity solutions for fluid mechanics problems, encompassing heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior. Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena.

Introduction:
Fluid mechanics is a fundamental branch of physics that deals with the study of fluids at rest and in motion. It encompasses a wide range of phenomena, including the flow of liquids, gases, and plasmas, as well as the transfer of heat and mass across boundaries. The boundary layer flow and heat transfer of viscous fluids, nanofluids, porous media, and micropolar fluids are particularly important areas of research in fluid mechanics, as they play a crucial role in many industrial and technological applications.

Similarity Solutions:
Similarity solutions are a powerful tool in fluid mechanics that allows for the simplification of complex fluid flow problems. They are based on the assumption that the flow is similar to a simpler flow that has the same physical properties and boundary conditions. By using similarity solutions, it is possible to obtain approximate solutions to complex problems that would otherwise be difficult or impossible to solve using traditional numerical methods.

Boundary Layer Flow:
Boundary layer flow is a fundamental phenomenon that occurs at the interface between a fluid and a solid surface. It is characterized by the formation of a thin layer of fluid that sticks to the surface and moves along with it. The flow in the boundary layer is highly complex, as it involves a combination of convection, diffusion, and turbulence.

Heat Transfer in Viscous Fluids:
Heat transfer in viscous fluids is a critical problem in many industrial applications, such as power generation, petroleum refining, and chemical processing. Viscous fluids are characterized by their resistance to flow, which makes it difficult to transfer heat efficiently. Similarity solutions can be used to model heat transfer in viscous fluids, including the flow of Newtonian fluids, non-Newtonian fluids, and fluids with temperature-dependent properties.

Nanofluids:
Nanofluids are a class of fluids that contain nanoparticles, which are tiny particles with a diameter of less than 100 nanometers. Nanofluids have unique properties that make them useful in a wide range of applications, including heat transfer, lubrication, and medicine. Similarity solutions can be used to model the flow of nanofluids, including the flow of binary nanofluids, ternary nanofluids, and nanofluids with temperature-dependent properties.

Porous Media:
Porous media are materials that have a network of pores that allow fluids to flow through them. Porous media are commonly used in filtration, separation, and energy storage applications. Similarity solutions can be used to model the flow of fluids in porous media, including the flow of fluids in packed beds, porous media with random porosity, and porous media with uniform porosity.

Micropolar Fluids:
Micropolar fluids are fluids that have a small but non-zero dipole moment. Micropolar fluids are used in a wide range of applications, including lubrication, medicine, and chemical processing. Similarity solutions can be used to model the flow of micropolar fluids, including the flow of fluids in microchannels, microtunnels, and microfluidic devices.

Conclusion:
Similarity solutions for the boundary layer flow and heat transfer of viscous fluids, nanofluids, porous media, and micropolar fluids have significant implications for many industrial and technological applications. By using these solutions, it is possible to obtain approximate solutions to complex problems that would otherwise be difficult or impossible to solve using traditional numerical methods. The use of similarity solutions will continue to grow in importance in the future, as researchers continue to explore new applications of fluid mechanics and develop new methods for solving complex problems.

Weight: 450g
Dimension: 229 x 152 (mm)
ISBN-13: 9780128211885