Prediction of Velocity-Dip-Position at the Central Section of Open Channels using Entropy Theory

An analytical model to predict the velocity-dip-position at the central section of open channels is presented in this study. Unlike the previous studies where empirical or semi-empirical models were suggested, in this study the model is derived by using entropy theory. Using the principle of maximum entropy, the model for dip-position is derived by maximizing the Shannon entropy function after assuming dimensionless dip-position at the central section as a random variable. No estimation of empirical parameter is required for calculating dip-position from the proposed model. The model is able to predict the location of maximum velocity at the central section of an open channel with any aspect ratio. The developed model of velocity-dip-position is tested with experimental data from twenty-two researchers reported in literature for a wide range of aspect ratio. The model is also compared with other existing empirical models. The present model shows good agreement with the observed data and provides least prediction error compared to other models

An Explicit Model for Concentration Distribution using Biquadratic-Log-Wake Law in an Open Channel Flow

The log-wake law with biquadratic boundary correction for the vertical velocity distribution which was changed from cubic boundary correction by Guo for the pipe data is applied to turbulent flow in open-channels. The biquadraticlog- wake law is tested with experimental data from Coleman, Lyn, Wang and Qian and Kironoto and Graf. It shows that the biquadratic-log-wake law matches well with flume data. A new mathematical model for vertical concentration distribution using the biquadratic-log-wake law is proposed and tested with the existing laboratory data. This study reflect the fact that sediment suspension has significant effects on both von Karman constant and Coles’ wake strength

Entropy-Based Modeling of Velocity Lag in Sediment-Laden Open Channel Turbulent Flow

In the last few decades, a wide variety of instruments with laser-based techniques have been developed that enable experimentally measuring particle velocity and fluid velocity separately in particle-laden flow. Experiments have revealed that stream-wise particle velocity is different from fluid velocity, and this velocity difference is commonly known as “velocity lag” in the literature. A number of experimental, as well as theoretical investigations have been carried out to formulate deterministic mathematical models of velocity lag, based on several turbulent features. However, a probabilistic study of velocity lag does not seem to have been reported, to the best of our knowledge. The present study therefore focuses on the modeling of velocity lag in open channel turbulent flow laden with sediment using the entropy theory along with a hypothesis on the cumulative distribution function. This function contains a parameter η, which is shown to be a function of specific gravity, particle diameter and shear velocity. The velocity lag model is tested using a wide range of twenty-two experimental runs collected from the literature and is also compared with other models of velocity lag. Then, an error analysis is performed to further evaluate the prediction accuracy of the proposed model, especially in comparison to other models. The model is also able to explain the physical characteristics of velocity lag caused by the interaction between the particles and the fluid

REVIEW OF SUSPENDED SEDIMENT TRANSPORT MATHEMATICAL MODELLING STUDIES

This paper reviews existing studies relating to the assessment of sediment concentration profiles within various flow conditions due to their importance in representing pollutant propagation. The effects of sediment particle size, flow depth, and velocity were considered, as well as the eddy viscosity and Rouse number influence on the drag of the particle. It is also widely considered that there is a minimum threshold velocity required to increase sediment concentration within a flow above the washload. The bursting effect has also been investigated within this review, in which it presents the mechanism for sediment to be entrained within the flow at low average velocities. A review of the existing state-of-the-art literature has shown there are many variables to consider, i.e., particle density, flow velocity, and turbulence, when assessing the suspended sediment characteristics within flow; this outcome further evidences the complexity of suspended sediment transport modelling

Asymptotic model for velocity dip position in open channels

Abstract An empirical model is proposed to predict the velocity dip position at the central section of open channels. The model is fitted based on asymptotic matching technique and validated by using a wide range of aspect ratios (channel width/flow depth) from 0.155 to 15. The matching approach, which relies on dividing the trend into smaller segments that can be combined into an overall relation, employs regression technique and thus warrants the best-fit accuracy results. The obtained model satisfies the upper and lower bounds of dip positions equal to 0.5 and 1, respectively. A comparison with other formulas widely reported in the literature is provided. The model is also applied to predict Reynolds shear stress and velocity distribution in open channels. This model will help extending our ability for analyzing velocity field in open channels under different flow and boundary conditions

Fundamental understanding of the size and surface modification effects on r(1), the relaxivity of Prussian blue nanocube@m-SiO2: a novel targeted chemo-photodynamic theranostic agent to treat colon cancer

A targeted multimodal strategy on a single nanoplatform is attractive in the field of nanotheranostics for the complete ablation of cancer. Herein, we have designed mesoporous silica (m-SiO2)-coated Prussian blue nanocubes (PBNCs), functionalized with hyaluronic acid (HA) to construct a multifunctional PBNC@m-SiO2@HA nanoplatform that exhibited good biocompatibility, excellent photodynamic activity, and in vitro T-1-weighted magnetic resonance imaging ability (r(1) similar to 3.91 mM(-1) s(-1)). After loading doxorubicin into the as-prepared PBNC@m-SiO2@HA, the developed PBNC@m-SiO2@HA@DOX displayed excellent pH-responsive drug release characteristics. Upon irradiation with 808 nm (1.0 W cm(-2)) laser light, PBNC@m-SiO2@HA@DOX exhibited synergistic photodynamic and chemotherapeutic efficacy (similar to 78% in 20 minutes) for human colorectal carcinoma (HCT 116) cell line compared to solo photodynamic or chemotherapy. Herein, the chemo-photodynamic therapeutic process was found to follow the apoptotic pathway via ROS-mediated mitochondrion-dependent DNA damage with a very low cellular uptake of PBNC@m-SiO2@HA@DOX for the human embryonic kidney (HEK 293) cell line, illustrating its safety. Hence, it may be stated that the developed nanoplatform can be a potential theranostic agent for future applications. Most interestingly, we have noted variation in r(1) at each step of the functionalization along with size variation that has been the first time modelled on the basis of the Solomon-Bloembergen-Morgan theory considering changes in the defect crystal structure, correlation time, water diffusion rate, etc., due to varied interactions between PBNC and water molecules

Facile and Green Synthesis of Novel Fluorescent Carbon Quantum Dots and Their Silver Heterostructure: An In Vitro Anticancer Activity and Imaging on Colorectal Carcinoma

Carbon dots (CQDs) have been widely investigated as prime candidates for developing a tumor theranostic platform due to their tunable fluorescence emission and excitation, high water solubility, good photostability, and biocompatibility. Among the CQDs, natural CQDs are an emerging class of nanomaterials in the carbon family. Herein, highly fluorescent carbon quantum dots (CQDs) were synthesized from orange juice using a one-step hydrothermal method and characterized by different techniques. After that, CQD/Ag heterostructures were synthesized by the reduction of silver salt, in particular silver nitrate (AgNO3) solution using sodium borohydride (NaBH4) in different ratios. The photostability and characterization of CQD/Ag heterostructures were investigated. At last, a comparative cellular toxicity measure-ment was done to select the superior CQD/Ag heterostructure in the human colorectal carcinoma (HCT 116) cell line along with the imaging property. The detailed cell death signaling was also observed in the HCT 116 cell line via the ROS-dependent mitochondrial-mediated pathway, where Akt (RAC-alpha serine/threonine-protein kinase) played a important role

Semisynthetic Quercetin Derivatives with Potent Antitumor Activity in Colon Carcinoma

Quercetin has been found to possess diverse pharmacological properties including in different types of cancers. The application of quercetin in the pharmaceutical field is limited due to its poor bioavailability resulting from poor water solubility and poor permeability. We report a systematic chemical modification of quercetin toward the development of semisynthetic derivatives through a selective synthetic methodology, which enables the installation of different substitutions at C-3′ and C-5 positions of quercetin. The hypothesis of the present manuscript was to modulate the log D value and aqueous solubility of quercetin through the attachment of some facilitator moieties. The semisynthetic derivatives with an ideal log D value and improved aqueous solubility will possess a better cell-penetrating ability compared to quercetin. Representative compound 17 shows 96-fold increase in the cytotoxic activity in HCT-116 colon cancer cells as compared to quercetin. The in vivo treatment of 17 in CT-26 tumor-bearing mice in a colon cancer model resulted in a striking increase in the survival rate and reduction in tumor weight (60%) with respect to quercetin. We believe that the current study has an immense potential toward the systemic development of clinically approved quercetin semisynthetic derivatives