Related Experiment Video
Updated: May 2, 2026
06:55
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
7.6K
An efficient wavelet analysis method to film-pore diffusion model arising in mathematical chemistry
1Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, 613 401, Tamil Nadu, India, hariharan@maths.sastra.edu.
The Journal of Membrane Biology
|February 25, 2014
Summary
This study introduces an efficient Legendre wavelet method for solving film-pore diffusion models in adsorption systems. This approach accurately describes methylene blue adsorption kinetics using low-cost plant leaf powders.
Area of Science:
- Engineering
- Environmental Science
- Chemical Engineering
Background:
- Film-pore diffusion models are crucial for understanding adsorption kinetics.
- Adsorption is a key process in water purification and pollutant removal.
- Low-cost adsorbents offer sustainable solutions for environmental remediation.
Purpose of the Study:
- To develop and validate an efficient Legendre wavelet-based approximation method.
- To solve the film-pore diffusion model accurately and efficiently.
- To investigate the adsorption kinetics of methylene blue using novel adsorbents.
Main Methods:
- Application of Legendre wavelet approximation for solving differential equations.
- Experimental study of methylene blue adsorption onto plant leaf powders.
- Kinetic analysis using the film-pore diffusion model.
Main Results:
- The Legendre wavelet method proved to be accurate, fast, and computationally efficient.
- The film-pore diffusion model effectively described the adsorption kinetics.
- Satisfactory adsorption of methylene blue was observed using Guava, teak, and gulmohar leaf powders.
Conclusions:
- The Legendre wavelet approximation is a powerful tool for modeling adsorption processes.
- Low-cost plant-based adsorbents show promise for methylene blue removal.
- This method provides a reliable approach for studying adsorption system kinetics.
Related Concept Videos
01:09Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
937
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
937
01:15Theories of Dissolution: Diffusion Layer Model
2.1K
Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
2.1K
02:32The de Broglie Wavelength
25.7K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.7K
01:24Protein Diffusion in the Membrane
4.7K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.7K