Oscillating Dumbbell Dynamics in Viscous Fluids: Analytical Insights | Chapter 2 | Mathematics and Computer Science: Contemporary Developments Vol. 5

The aim of this chapter is to investigate analytically the motion of oscillating dumbbell, two micro-spheres connected by a spring, in a viscous incompressible fluid at low Reynolds number. The analytical approach used in the study offers a detailed and precise understanding of the motion characteristics, which can help improve the design and optimization of systems involving oscillatory motion in viscous environments. The oscillating dumbbell consists of one conducting sphere and assumed to be actively in motion under the action of an external oscillator field while the other is non-conducting sphere. As result, the oscillating dumbbell moves due to the induced ow oscillation of the surrounding fluid. The fluid ow past the spheres is described by the Stokes equation and the governing equation in the vector form for the oscillating dumbbell is solved asymptotically using the two-timing method. For illustrations, applying a simple oscillatory external field, a systematic description of the average velocity of the oscillating dumbbell is formulated. The trajectory of the oscillating dumbbell was found to be inversely proportional to the frequency of the external field, and the results demonstrated that the oscillating dumbbell moves in a circular path with a speed that decreases inversely with the length of the spring. It is worth noting that the average velocities of the oscillating dumbbell is given in the most general form which could be applicable to study a full three-dimensional problem.

 

Author (s) Details

Mohammed Mattar Al-Hatmi
Department of Applied and Basic Science, A'Sharqiyah University, Ibra, Oman.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v5/2138

Development of E-Module Using Team Assisted Individualization to Improve Higher Order Thinking Skills of High School Students in Fluid Physics | Chapter 9 | Science and Technology: Developments and Applications Vol. 5

Electronic module, team assisted individualization (TAI), fluid dynamics, HOTS This study aims to develop independent teaching materials in the form of electronic modules (e-modules) that use the Team Assisted Individualization (TAI) cooperative model and include HOTS questions on fluid dynamics material. The method used in this study is research and development with the ADDIE (Analyze, Design, Development, Implementation, and Evaluation) development stages. The TAI cooperative model has five stages of learning, namely teams, placement tests, team study, factual tests, and lastly team score and team recognition. The developed e-module also included questions that test students' higher order thinking skills. The validation test of media, material, and learning experts received an average score of 82.81%, while the field trial on physics teachers received an average score of 84.73% and on students 91.01%. These scores show that the developed e-module is suitable for use as independent teaching materials for students. In addition, the calculation of the n-gain test is 0.48 and categorized as moderate according to the gain value interpretation table. This value shows that e-modules that present learning materials with videos, virtual laboratories, worksheets, and HOTS practice questions can improve students' high-level thinking skills.

 

Author (s) Details

 

I Made Astra
Department of Physics Education, Universitas Negeri Jakarta, Indonesia.

 

Indriyani Nurjanah
Department of Physics Education, Universitas Negeri Jakarta, Indonesia.

 

Raihanati Raihanati
Department of Physics Education, Universitas Negeri Jakarta, Indonesia.

 

Please see the book here:- https://doi.org/10.9734/bpi/stda/v5/4073

Microspheres Transport in a Viscous Fluid Induced by an External Oscillator Field | Chapter 2 | Research and Applications Towards Mathematics and Computer Science Vol. 8

The movement of nano/micro-particles in a viscous media has recently received attention due to its diverse applications in applied science and engineering. In the current chapter, the interactions of a two-solid microspheres system in Stokes ow at low Reynolds number power by an external oscillator field is studied analytically. A conducting microsphere moves under the action of an external field, and the other nonconducting sphere moves due to the induced ow oscillation generated by the motion of the active sphere. The governing equation in the vector form for the two-sphere system is formulated and solved asymptotically using the two-timing method. For illustrations, by applying a simple oscillatory external FIeld, the results show that no collisions occur between two spheres as the system moves in a circular motion with a fixed separation distance, and that its trajectory was found to be inversely proportional to the frequency of the external field.

Author(s) Details:

M. M. Al-Hatmi,
Department of Basic Science, College of Applied and Health Sciences, A' Sharqiyah University, Oman.

Please see the link here: https://stm.bookpi.org/RATMCS-V8/article/view/13069

Computational Fluid Dynamics Studies on the Impact of Viscosity and flow rate of Dope Solution in Hollow Fiber Ultra Filtration Membrane Formation | Chapter 6 | Theory and Applications of Engineering Research Vol. 4

The performance of the polymeric membranes depends on morphology and its strength. The pressure-driven membrane separation process required good structural strength and desired flux. But these parameters depend on the formation of the right size pores, the number of pores & their distribution, and even wall thickness in surface and cross-sectional morphologies of the membrane. The desired values of the above decide the structural stability and permeate flux of hollow fibre membrane(HFM). Obtaining the desired membrane morphology yields the preferred strength and performance. In general, the characteristics of membranes derived from the flow rate of the dope solution, the shear rate, the composition of dope solutions, and the mass flux rate between solvent and non-solvent at the coagulant bath during the spinning process. So, a steady state simulation performed using the Computational Fluid Dynamics (CFD) tool to understand the fluid flow behavior inside the angular spinneret and the results correlated with the physio-structural parameters such as strength, morphology, burst pressure of the hollow fiber Ultra Filtration (UF) membrane and its formation. The study on the flow behavior of dope solution inside the spinneret carried by various the power-law index value (0.3 < n <0.7) and the dope solution flow rate (0.1< Q <1.2 mL/min). The flow profiles at the exit of 75o angular spinneret gave the delightful result of why the fiber membrane unable to withstand the high-pressure application. Also, it is exbound that the shear induced flow rate is struggle to drive some power-law index fluids and resulted in bulk flow at some spot of exit of the spinneret and leaves the hollow fiber membrane to form uneven wall thickness. The dope flow rate and the power-law index values need to be optimized to understand the formation of UF membrane morphology.

Author(s) Details:

Suresh K.,
Department of Chemical Engineering, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamil Nadu, India.

Selvam K.,
Department of Chemical Engineering, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamil Nadu, India.

Karunanithi B.,
Department of Chemical Engineering, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamil Nadu, India.

Please see the link here: https://stm.bookpi.org/TAER-V4/article/view/13100

Lie’s Infinitesimal Continous Similarity Transformtion Method of Finding Particulr Solutions of Partial Differential Equations and It’s Limitations | Chapter 3 | Research and Applications Towards Mathematics and Computer Science Vol. 5

 Lie’s unending infinitesimal similarity renewal method of finding exact answers of nonlinear partial differential equatings widely using in Theoretical Physics and Fluid Dynamics .The disadvantages of this method is, limited to a class of particular solutions and there can exist other particular answers outside this class . So, in most cases Lie’s continuous small similarity revolution method fails to get general solutions of nonlinear incomplete differential equations.

Author(s) Details:

B. V. Baby,
3/88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V5/article/view/12213

Study on Enhancement of Thermal Performance of Absorber Flat Plate Solar Collector| Chapter 4 | Research Developments in Science and Technology Vol. 2

The major goal of this project is to enhance the heat transfer rate by altering the design of the absorber flat plate and to compare the findings of computer-assisted fluid dynamics simulation for all configurations. To optimise temperature distribution and heat generation, as well as factors such as axial and radial speed, pressure distribution, and thermal performance, fluid dynamics simulations were done for six flat plate vacuum absorbent designs. In terms of maximum temperature and thermal power, the interpreted design-3 is 15.339 percent more efficient than the basic design, with an increase of 8.14 percent above the basic design. Design 3 of the flat absorbent plate is recommended for the best heating results. For six types of absorber plate for evacuated flat plate collectors, the temperature distribution and heat generation were verified and compared using computational fluid dynamics analysis for better thermal performance.

 

Author(s) Details:

Amrit Ranjan,
Department of Mechanical Engineering, Radharaman Institute of Technology & Science, Bhopal, Madhya Pradesh, India.

Please see the link here: https://stm.bookpi.org/RDST-V2/article/view/6606

Conservation Laws in Modern Physics with Technical Applications | Book Publisher International

 Our book's main goal is to demonstrate the profound unity of different branches of physics at the level of conservation laws and the medium state equation. Classical mechanics, gas and fluid dynamics, relativistic theory, thermodynamics, statistical and quantum physics are all explored in this path. The book is divided into ten parts, each of which examines theoretical issues, presents experimental data, and illustrates some technological applications.

Author(s) Detalis

M. Ja. Ivanov
Turbine Department, Central Institute of Aviation Motors, Aviamotornaya Str., Moscow 111116, Russia.

View Book:- https://stm.bookpi.org/CLMPTA/issue/view/71

Novel Analytical Molecular Dynamics Technique for Solving Fluid Dynamics Problems | Chapter 1 | Theory and Practice of Mathematics and Computer Science Vol. 5

 To simplify and minimise computations in applications dealing with fluid dynamics issues, a novel analytical molecular dynamics technique (NAMDT), based on a newly discovered Ballistic Theory of the Property Balance in Space (BPPBS) occupied by gas, is implemented. By applying four significant steps, the integro-differential balance equations for mass, momentum, and energy are derived: assigning to model gas properties that vary from the properties usually assigned to the ideal gas, imitating the movement of each model gas particle/molecule by defining a ballistic trajectory for each particle, collecting those movements into analytically specified mac For the collision-dominated flow regime, the integro-differential equilibrium equations for mass and momentum have been further approximated. Then, by the vector differentiation process, they were reduced to the corresponding vector differential equations with subsequent removal of the terms belonging to the original equation. It has been shown that the derived vector differential equations of mass and momentum balance are similar to the corresponding Navier-Stokes equations in the collision-dominated flow regime. We were shocked to observe that the Navier-Stokes equations look similar to our transformed differential forms. This result led us to conclude that the formulated integro-differential forms of equilibrium are precise implicit solutions to the corresponding Navier-Stokes equations in the collision-dominated flow regime. Here are six additional mathematical verifications showing the viability of the approach proposed and an example of its device implementation.

Author(s) Details

Dr. Nikolai Kislov
Nano CVD Company, Tampa, Florida, USA.

View Book :- https://bp.bookpi.org/index.php/bpi/catalog/book/341

Inpainting by Modified Lattice Boltzmann Method and Exemplar Method for Object Removal in Colour Images | Chapter 12 | Emerging Trends in Engineering Research and Technology Vol. 4

In this paper we use image inpainting technique in colour images. Inpainting is a technique in which, a missing area or pixels are replaced by adequate neighbouring pixels so that the resultant image obtained will look as no defect is there. In this paper we have removed an object from the colour image and the vacant pixels are filled with the help of the surrounding neighbouring pixels. Two techniques are used here for removing and inpainting an object from the still colour image, Modified Lattice Boltzmann Method and Exemplar Method. Existing Exemplar Method of inpainting is used to compare the results of Modified Lattice Boltzmann Method. The Lattice Boltzmann Equation from fluid dynamics it modified to use for inpainting. Peak Signal to Noise Ratio, Self-SIMilarity Index and execution time of the image is calculated for both inpainting techniques. From the objective analysis, it is found that the proposed Modified Lattice Boltzmann method of inpainting gives a better inpainted result.

Author(s) Details

R. F. Liji 
Department of Electronics and Communication Engineering, John Cox Memorial CSI Institute of Technology, Thiruvananthapuram, Kerala, India.

M. Sasikumar
Department of Electronics and Communication Engineering, Marian Engineering College, Thiruvananthapuram, Kerala, India.

View Book :- http://bp.bookpi.org/index.php/bpi/catalog/book/180