This paper is concerned with finding solutions to free-boundary inverse coefficient problems. Mathematically, we handle a one-dimensional non-homogeneous heat equation subject to initial and boundary conditions as well as non-localized integral observations of zeroth and first-order heat momentum. The direct problem is solved for the temperature distribution and the non-localized integral measurements using the Crank–Nicolson finite difference method. The inverse problem is solved by simultaneously finding the temperature distribution, the time-dependent free-boundary function indicating the location of the moving interface, and the time-wise thermal diffusivity or advection velocities. We reformulate the inverse problem as a non-linear optimization problem and use the lsqnonlin non-linear least-square solver from the MATLAB optimization toolbox. Through examples and discussions, we determine the optimal values of the regulation parameters to ensure accurate, convergent, and stable reconstructions. The direct problem is well-posed, and the Crank–Nicolson method provides accurate solutions with relative errors below 0.006% when the discretization elements are M=N=80. The accuracy of the forward solutions helps to obtain sensible solutions for the inverse problem. Although the inverse problem is ill-posed, we determine the optimal regularization parameter values to obtain satisfactory solutions. We also investigate the existence of inverse solutions to the considered problems and verify their uniqueness based on established definitions and theorems.
In this article, the casting method was used to prepare poly(methyl methacrylate)/hydroxyapatite (PMMA/HA) nanocomposite films incorporated with different contents (0.5, 1, and 1.5 wt%) of graphene nanoplatelets (Gnp). The chemical properties and surface morphology of the PMMA/HA blend and PMMA/HA/Gnp nanocomposite were characterized using FTIR, and SEM analysis. Besides, the thermal conductivity, dielectric and electrical properties at (1–107 Hz) of the PMMA/HA blend and PMMA/HA/Gnp composites were investigated. The structural analysis showed that the synthesized composites had a low agglomerated state, with multiple wrinkles of graphene flakes in the PMMA/HA blend. The thermal conductivity was improved by more than 35-fold its value for
... Show MoreLow-temperature stratification, high-volumetric storage capacity, and less-complicated material processing make phase-changing materials (PCMs) very suitable candidates for solar energy storage applications. However, their poor heat diffusivities and suboptimal containment designs severely limit their decent storage capabilities. In these systems, the arrangement of tubes conveying the heat transport fluid (HTF) plays a crucial role in heat communication between the PCM and HTF during phase transition. This study investigates a helical coil tube-and-shell thermal storage system integrated with a novel central return tube to enhance heat transfer effectiveness. Three-dimensional computational fluid dynamics simulations compare the proposed d
... Show MoreThe evaluation of the Nfayil limestones in Bahr Al-Najaf Depression as construction materials was done on 15 sites distributed over a region. The study included field and laboratory aspects. The field side included collecting information about the study area and samples. As for the laboratory side, laboratory tests were conducted to study the thermal conductivity of samples by a device called Lee’s disc in the Tikri University. The thermal conductivity results ranged between 2.34 and 0.27. The rocks are of high thermal insulation at low temperatures and low insulation at high temperatures according to the specifications of the suitability of limestone for thermal conductivity standards (ASTM C 1057-03-2010).
in this paper the collocation method will be solve ordinary differential equations of retarted arguments also some examples are presented in order to illustrate this approach
Today many people suffering from health problems like dysfunction in lungs and cardiac. These problems often require surveillance and follow up to save a patient's health, besides control diseases before progression. For that, this work has been proposed to design and developed a remote patient surveillance system, which deals with 4 medical signs (temperature, SPO2, heart rate, and Electrocardiogram ECG. An adaptive filter has been used to remove any noise from the signal, also, a simple and fast search algorithm has been designed to find the features of ECG signal such as Q,R,S, and T waves. The system performs analysis for medical signs that are used to detected abnormal values. Besides, it sends data to the Base-Stati
... Show MoreInternet of Things (IoT) technology could be an effective solution to accomplish real-time retrieval of historical electronic health records (EHRs) to present better service of healthcare. In a pilgrimage environment such as the Hajj, IoT can be applied by identifying the non-local patients as electronic tags, and the tag data can be read by wireless sensors. The data that is collected using Radio-Frequency Identification (RFID) can be acquired from a Wireless Sensor Network (WSN) in order to accomplish many decisions, such as sending an ambulance to a patient’s location, sending an emergency alert to his immediate family circle, and retrieving his EHR from a database. The main contribution of this research is to propose a conceptual IoT
... Show MoreOne hundred and sixty samples from saliva and dental plaque were sellected from patients with caries active at ages from (4-65) years from Umm Qasr Primary School and Al-Ameria Specialist Dental Center in Baghdad. 15 isolates belong to Streptococcus mutans were identified by biochemical tests and Vitek 2 compact system while 22 isolates identified by using Polymerase Chain Reaction ﴾PCR﴿ techniques and sequencing of 16SrRNA with 120 bp by using 16SrRNA the result confermed that these isolates were belong to S.mutans.
This work involves the preparation of high yield iminochalcon compounds (B1-B15) through two parts. The first part involves the preparation of 2,4-dihydroxy Chalcone (A1-A15) by the condensation of 2,4-dihydroxy acetophenone with aryl aldehyde in the presence of sodium hydroxide (40%) as a catalyst. The second part includes the preparation of iminochalcon from the condensation of p-hydroxy aniline with 2,4-dihydroxy chalcone derivatives )A1-A15) in the presence of some drops of conc. H2SO4. Thin-layer chromatography ((TLC) was used to control the chemical reaction . These new derivatives were characterized by using FT-IR and 1H-NMR spectroscopy. These synthesized
... Show MoreThis study was aimed to detect and identify genetic mutations in γ-aminobutyric acid receptor β3 subunit encoding gene (GABRB3) and its association with autism spectrum disorders. Forty autistic patients and 25 non-autistic as control group (5 unaffected sibling and 20 unrelated) with age range from 3 – 10 years were included in this study. Chromosomal DNA was extracted from blood samples followed by polymerase chain reaction (PCR) amplification of two targeted regions which include: (exon2-intron2-exon3) region and (exon 6) region of GABRB3 for subsequent DNA sequencing. Identical bands related to the targeted regions were present in all samples. A sample of PCR products of patients and controls were sequenced. Sequencing results re
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