Semilogarithmic Research Articles

Trend and Fuzzy Time Series Analysis of Live Births Registration in Northern Ghana

Abstract This study investigated four trend analysis models namely; linear, quadratic, semi log linear and semi log quadratic to study the pattern of live births registration in the Northern Region of Ghana. The study revealed that Semi log linear trend model is the best trend model for studying the pattern of live births registration in the Northern Region of Ghana based on AIC and BIC criteria. The study further fitted four existing fuzzy time series (FTS) models for forecasting live births registration in the Northern Region of Ghana. The Chen, Singh, Heuristic and Chen-Hsu models are the four models used to analyze the data.

THE FRACTAL RHEOLOGY OF MAGNETORHEOLOGICAL ELASTOMERS DESCRIBED THROUGH THE MODIFIED ZENER MODEL AND THE COLE–COLE PLOT

The main objective of this study focuses on using, for the first time, the Cole–Cole semilogarithmic fractal plot to study the fractal rheological behavior of magnetorheological elastomer materials using the fractional Zener model. Experimental data and theoretical results show that the Cole–Cole semilogarithmic fractal plot predicts the Zener mathematical model’s material parameters. This paper elucidates the benefits of using Cole–Cole semilogarithmic fractal plots to accurately predict material rheological properties of composite elastomer reinforced with nano or microiron particles observed during experimental tests.

Ab. No. 101 A Conceptual Model of a Unified Wrist Sensor (UWS) for Non-Invasive Real-Time Preterm Infant Monitoring at NICU

Introduction: This study introduces a groundbreaking conceptual model for a Unified Wrist Sensor (UWS) designed to revolutionize non-invasive real-time monitoring of preterm infants in the Neonatal Intensive Care Unit (NICU). Current pain, sleep, and stress assessments in NICU settings are fraught with subjectivity and time constraints. The proposed UWS addresses these challenges by integrating multiple sensors into a single, non-restrictive wristband. Methods: The conceptual model employs a systematic approach, encompassing pre-processing, feature extraction, optimization, and learning models. Deep learning and machine learning techniques are harnessed to enhance accuracy in processing diverse physiological data. Standardization methods such as linear scaling, log scaling, or z-score are strategically applied to reduce variability, ensuring reliable outcomes across different individuals. Result: The discussion underscores the critical need for intelligent fusion structures that incorporate multiple sensor data and rich contextual information. The UWS aims to strike a balance between clinical utility and practicality, offering complementary, robust, and reliable multimodal sensor data. This approach provides a comprehensive understanding of pain, sleep, and stress patterns in preterm infants, paving the way for personalized treatment protocols. Conclusion: In conclusion, the proposed UWS emerges as a potential game-changer, appropriately reweighting data and enabling real-time monitoring of pain, stress, and sleep in NICU infants. The implications of this research are far-reaching, as the UWS can monitor physiological changes using multiple modalities, assess real-time patient outcomes, and dynamically adjust treatment protocols. Implication: This study contributes significantly to the field of neonatal care and introduces the prospect of seamlessly integrating advanced sensor technology into routine NICU practices.

Exploring the effect of molecular size and framework functionalisation on transport in metal-organic frameworks using pulsed-field gradient nuclear magnetic resonance.

Molecular transport is an important aspect in metal-organic frameworks (MOFs) as it affects many of their applications, such as adsorption/separation, drug delivery and catalysis. Yet probing the fundamental diffusion mechanisms in MOFs is challenging, and the interplay between the MOF's features (such as the pore structure and linker dynamics) and molecular transport remains mostly unexplored. Here, the pulsed-field gradient nuclear magnetic resonance (PFG NMR) technique is used to probe the diffusion of several probe molecules, i.e., water, xylenes and 1,3,5-triisopropylbenzene (TIPB), within the UiO-66 MOF and its derivatives (UiO-66NH2 and UiO-66Br). Exploiting differences in the size of probe molecules we were able to probe the diffusion rate selectively in the different pore environments of the MOFs. In particular, when relatively small molecules, such as water and small hydrocarbons, were used as probes, the PFG NMR log attenuation plots were non-linear with two distinctive diffusion regions, suggesting faster diffusion in the inter-crystalline space and slower diffusion within crystal aggregates, the latter occurring mostly inside the framework of the MOFs. Conversely, experiments with a larger probe molecule, i.e., TIPB, with a kinetic diameter of 0.95 nm, which makes it unable to access the framework windows of the MOF crystals, showed linear PFG NMR log attenuation plots, which indicates diffusion occurring in a single environment, most likely in the inter-crystalline space. Analysis of the apparent tortuosity values of the systems under investigation highlights the role of linker functionalisation in influencing the molecular diffusion of the probe molecules, which affects both intra-molecular interactions and pore accessibility within the MOF crystals. The findings of this work demonstrate that the diffusion behaviour of probe molecules within MOFs is influenced by the pore size, structure, functionalisation of the MOF linker and molecular interactions. Our study contributes to further advance the understanding of mass transport in MOFs by PFG NMR and provides insights that can inform the design and optimisation of MOF-based materials for various applications.

Textural Characteristics and Depositional Regime of the Shitalakshya River Sediments, Bangladesh

This study analyzes the depositional regime and textural properties of the sediments from the Shitalakshya River in Bangladesh, enabling us to comprehend how these sediments evolved in a river environment. For this investigation, 30 representative samples were taken from the Shitalakshya River, and their textures were analyzed. The cumulative frequency curve is obtained by using semilog graph paper to plot particle size (in phi scale) against cumulative percent. The statistical parameters such as median (Md), mode (Mo), mean (MZ), standard deviation (σi), skewness (SKi), and kurtosis (KG) were calculated using the percentile of phi values (1%, 5%, 16%, 25%, 50%, 75%, 84%, and 95%). The cumulative curves show that the sediments are deposited through the traction population (1.90%), saltation population (75.64%), and suspension population (22.46%). The median value varies between 0.7Ø and 4.85Ø, with an average of 2.738Ø indicating coarse sand to coarse silt. The analyzed samples have unimodal, bimodal, and polymodal distribution, which indicates the sediments are carried by different tributaries and distributaries in the Sitalakshya River system. The range of 1.46Ø–4.05Ø represented by the observed mean value suggests sand with medium to extremely fine grains. Most of the sediments indicate moderate sorting, which is shown by the standard deviation (sorting), which ranges from 0.399Ø to 1.48Ø. The skewness value ranges between −0.01Ø and 0.66Ø, suggesting near symmetrical skewed, while the kurtosis value ranges from 0.54Ø to 1.87Ø, indicating the sediments are 20% leptokurtic, 20% mesokurtic, and 60% platykurtic. According to the CM plot, the Shitalakshya River is mostly deposited in the area between the rolling and suspension fields, indicating a transportation regime of saltation. The scatter plots of skewness versus sorting and graphic mean versus sorting indicate that the sediments fall within the river sand zone. The energy process discriminant functions of the sediments show that they were deposited by a fluvial process.

Electrophilicity, mechanism and structure–reactivity relationships of cyclic secondary amines addition to 2-methoxy-3,5-dinitropyridine

The second-order rate constants (k) for the nucleophilic aromatic substitution reactions of 2‑methoxy-3,5-dinitropyridine 1 with secondary cyclic amines 2a-c in acetonitrile solution at 20 °C are reported. The logarithms of these rate constants are particularly significant as possible measures of the electrophilicity parameters E for 2‑methoxy-3,5-dinitropyridine 1 according to the linear free energy relationship log k (20 °C) = sN(N + E). Additional kinetic data for reactions of 2-methoxy-3,5-dinitropyridine 1 with a series of nitroalkyl anions in DMSO solution are also measured and found to agree with those calculated by Mayr's approach from the known two solvent-dependent parameters N and sN of nitroalkyl anions and the electrophilicity parameter E measured in this work. A Single Electron Transfer (SET) mechanism is proposed for the SNAr reactions, on the basis of the linear Brönsted plot with the βnuc value of 0.94. The validity of this mechanism is confirmed by the agreement between the rate constants, k, and the oxidation potentials E° of these series of secondary cyclic amines. Also, reactivity descriptors such as the electronic chemical potential (μ), and the chemical hardness (η) for a series of pyridine derivatives were calculated by Density Functional Theory (DFT), and it is shown that the global electrophilicity index (ω = μ2/2η) is significantly correlated with the electrophilicity parameters E.

Shear rate effect on clay-structure interface strength properties in various interface boundary conditions

Based on the modified simple direct shear device which can directly measure the interface pore pressure and interface shear displacement, a series of interface shear tests and corresponding pure clay shear tests were conducted at an undrained state in constant normal load (CNL) boundary conditions or equivalent undrained state in constant volume (CV) boundary conditions. The clay-structure interfaces, consisting of seabed clay and Speswhite kaolin clay with overconsolidation ratios (OCR) of 1 and 3, were tested at three shear rates, respectively V1 = 0.0002 mm/s, V2 = 0.001 mm/s, and V3 = 0.01 mm/s. The results demonstrated that the shear strength of the clay-structure interface is lower than that of pure clay, and this difference is more pronounced under CV boundary conditions. In CNL condition, though the pure clay strength decreases with increasing shear rate at OCR = 1 and increases with increasing shear rate at OCR = 3, the shear rate effect on clay-structure interface strength is not obvious. In CV condition, the strength of the interface with the normally consolidated (NC) and over consolidated (OC) clay increases approximately linearly with the shear rate on the semi-logarithmic scale. the shear rate parameter ρ is used to describe the growth rate of pure clay or clay-structure interface shear strength with a tenfold increase in shear rate. As for normally consolidated clay, in CV condition, the corresponding shear rate parameter satisfies that ρ (with R1 roughness)> ρ (pure clay)> ρ (with R2 roughness). The rate parameter corresponding to NC seabed clay is significantly higher than the rate parameter corresponding to NC Speswhite kaolin clay. For OC clay, the shear rate parameter for interface strength is higher than that for pure clay, meeting with the relationship that ρ (with R1 roughness)> ρ (with R2 roughness)> ρ (pure clay).

Mechanistic Study of Reaction between 5-Sulfosalicylic Acid and Colloidal MnO2

The reaction between 5-sulfosalicylic acid (5-SSA) and colloidal MnO2 has been studied kinetically in acidic medium. During the reaction the concentration of 5-SSA was kept highly excess than the concentration of colloidal MnO2 to maintain the pseudo-first-order condition. The reaction was studied by following decrease in absorbance of colloidal MnO2 at 390 nm and the first order rate constants were determined from linear log (Abs.) against time plots. The linearity of the first-order plots did not involve any autocatalytic part. The oxidation of 5-sulfosalicylic acid (5-SSA) by colloidal MnO2 involves intervention of free radicals and Mn(III). The product of reaction in colloidal MnO2 was p-hydroxy benzene sulfonate ion as confirmed by LCMS-MS analysis. The oxidation by colloidal MnO2 consists of acid dependent and independent mechanisms. The results of added Mn(II), Na4P2O7 and acrylonitrile indicate involvement of Mn(III) and free radical during oxidation by colloidal MnO2. The probable mechanisms for acid dependent and independent paths were predicted and the rate expressions were also obtained. The activation parameters also support the proposed mechanisms.

Rapid Broadband Impedance Acquisition of Lithium-Ion Batteries Based on Measurement Evaluating and Impedance Filtering

Battery impedance contains valuable information concerning state estimation and fault diagnosis, while online impedance measurements attract increasing research interest. The Pseudo Random Sequence (PRS) signal enables a fast and low-complexity impedance measurement for Lithium-ion (Li-ion) batteries yet with the drawback of an inadequate Signal-to-Noise Ratio (SNR) that easily leads to a biased result, while very few studies have existed to process the non-uniformly distributed impedance data with large biases. Motivated by this, this work proposes a novel Measurement Evaluating Procedure (MEP) and a 2-Dimensional Gaussian Filter (2-DGF) for enhancing the performance of the PRS method. The MEP weights the impedance measurement data based on the signal power spectrum and determines the Gaussian Probability Distributions (GPDs) of the impedance data to eliminate interference from the abnormal data. The 2-DGF is further carried out on a semi-logarithmic scale to process the non-uniform impedance measurements, which avoids constantly adjusting the filtering windows. Experimental studies validate the proposed method under the different States of Charges (SOCs) and ambient temperatures. The results present the good accuracy and robustness of the proposed method under different cases.

A Novel Lithium-Ion Battery Impedance Fast Measurement Method With Enhanced Excitation Signal

Online battery impedance acquisition is of increasing interest due to its valuable information for state estimation and fault diagnosis. The Pseudo Random Sequence (PRS) can significantly mitigate the required time cost, yet suffers from an insufficient Signal-to-Noise Ratio (SNR). Motivated by this, this paper proposes a novel series-connected Dual Pseudo Random Sequence (DPRS) for enhancing the signal power content in all frequency ranges, which notably improves the robustness of broadband impedance acquisition against interference. A Weighted Bilateral Impedance Filter (WBIF) is further carried out on a semi-logarithm scale to process the measurement data, which effectively compensates for the noise-induced biases and enables a nearly unbiased result. Experimental studies verify the proposed framework by comparing it with the conventional PRS method in terms of accuracy and robustness under various States of Charges (SOCs), ambient temperatures, and aging status of the batteries.

PENERAPAN MODEL LOG LINIER TERHADAP PERSEPSI MAHASISWA PADA SINETRON RELIGIUS

The purpose of this study is to find out which variables in the cell cause the contingency to be dependent in the case of student perceptions in religious soap operas. The data taken from this study are the results of a survey of IAIN Madura students with the variables having experienced events, gender and deepening religious knowledge. The data analysis method used is Linear Log Model. The conclusions in this study are as follows based on the estimated parameter values ​​presented in the table above, it can be seen that male and female IAIN MADURA students believe that religious soap operas can deepen religious knowledge, and also male and female students believe that religious soap operas cannot deepen religious knowledge. Based on the Chi Square values ​​presented in the table above, it can be seen that the opinion variable, deepening religious knowledge and having experienced an incident have no relationship or each variable is independent, so it cannot be continued to a linear logistic test.

Cognition: Accurate and Consistent Linear Log Parsing Using Template Correction

Cognition: Accurate and Consistent Linear Log Parsing Using Template Correction

Laser-direct-writing assisted preparation of flexible humidity sensors based on semi-interpenetrating polymer network for applications in non-contact human-machine interaction

Flexible sensors for non-contact human-machine interaction (HMI) received great attention recently due to increasing requirements for cross-infection of bacteria or virus, which is prominent considering the disaster brought about by COVID-19. Herein, a semi-interpenetrating network of poly(dimethyl diallyl ammonium chloride)/crosslinked poly(vinyl alcohol)/graphene oxide (PDDA/c-PVA/GO) was deposited on polytetrafluoroethylene membrane with interdigital electrodes constructed by reducing GO with laser-direct-writing technology to prepare a flexible humidity sensor (FHS). As-prepared PDDA/c-PVA/GO FHS showed excellent sensing performance, including high response magnitude over wide range of relative humidity (RH) (impedance change of three orders of magnitude between 10 % and 90 % RH), good sensing linearity (R2 = 0.991) on a semi-logarithmic scale, small hysteresis (∼ 4.4 % RH) and resistance to humid environment. Moreover, the FHS exhibited good performance in various scenarios of non-contact HMI, including prompt differentiation of respiration status, speech recognition, accurate measurement of fingertip movement (as small as 2 mm). Specially, a 3 × 3 FHS sensor array could realize accurate non-contact positioning. This work provides a new approach for developing high performance flexible sensors with great application potentials in non-contact HMI.

Buildup Evaluation of a Tight Overpressured Naturally Fractured Carbonate Reservoir with the Use of a Semi-Empirical Model

Summary This paper examines the buildup (BU) pressure response of a vertical well that penetrates an unconventional tight naturally fractured carbonate reservoir in Mexico. Four BUs in the same well over a period of 4 months, with intermediate flow periods, suggest partial closure of natural fractures. Radial flow is dominant in the four BUs. This is recognized in semilogarithmic and pressure derivative crossplots. However, the formulations require a consistent empirical component to match the BU data. The four BU tests are evaluated with a semi-empirical dual porosity model with restricted interporosity flow. The restricted flow between matrix and fractures is the result of partial secondary mineralization (cementation) within the fractures, which can be visualized as a natural positive skin that reduces the oil flow from the matrix to the fractures. The empirical part of the method is provided by a severity exponent (SE), which helps improve the match between the BU semilog and derivative plots. The BU evaluations permit estimating several parameters of interest, including fracture capacity (k2·h), skin, storativity ratio (ω), and the extrapolated pressure (p*). Results suggest that although natural fractures are present, they tend to close once the well goes on production. Thus, the conclusion is reached that the carbonate reservoir is tight and likely stress dependent. The calculated skin goes from an improved condition around the wellbore to slightly damaged conditions, probably due to fracture closure. The value of ω increases continuously, suggesting a tendency of the reservoir to move from dual to single porosity behavior. The reservoir is overpressured (0.87 psi/ft) and the extrapolated pressures (p*) decrease because of the tight characteristics of the reservoir. However, given the large size of the reservoir, the likelihood of depletion is low. The novelty of this study is the development of a new easy-to-use semi-empirical well testing model for matching the BU pressure response of four tests performed in a well that penetrates an overpressured, unconventional, tight, naturally fractured carbonate reservoir. The tests could not be matched with conventional methods currently available in the literature.

Multifrequency Downstream Hydraulic Geometry of Alluvial Mountain Rivers Located on the Qinghai–Tibet Plateau

Downstream hydraulic geometry (DHG) for multiple discharge frequencies remains poorly investigated. This paper seeks to clarify the DHG relations of different discharge frequencies and proposes the definition, mathematical expression, and geomorphological interpretation of multifrequency DHG (MFDHG). It also verifies the existence of DHG and MFDHG in the six major exoreic rivers located in the Qinghai–Tibet Plateau. MFDHG can be depicted with (1) log-linear plots between DHG coefficients and exponents for multiple discharge frequencies and (2) independent DHG curves intersecting near congruent discharge, width, depth, or velocity. The results show that rivers in the study area exhibit strong DHG relations. The variations in the DHG coefficients and exponents usually exhibit opposite trends with increasing discharge frequency. The MFDHG of a river reach is generally stronger than that of a river basin. Congruent hydraulics, as indices of geometric variability and hydraulic self-similarity, reflect consistent changes in hydraulic variables downstream. MFDHG is a novel geomorphic phenomenon that bridges spatiotemporal dimensions in HG systems and provides a basis for establishing an overall HG relationship.

A New Interpretation of the Newton´s Cooling Law: Two Features of Thermons: Their Elastic Volume and Their Angular Momentum

The Newton´s cooling law still attracts the attention of scholars in order to describe hidden features of heat particles (thermons) and the mechanism of the radiating heat into the surroundings with a lower temperature. The characteristic cooling constant of this process 1/τπ [min-1] was defined as the experimental parameter describing the contributions of the thermon elastic volume and thermon angular momentum. This experimental parameter τπwas found as the time needed to achieve the temperature Tπ = Tenv +(T0-Tenv)/π during the cooling of the studied object with the starting temperature T0 and the surrounding with temperature Tenv. The studied system was water in spherical flasks with the volumes 2000, 1000, 500, 250, and 100 mL and the starting temperatures 90° C, 80°C, and 70° C. The temperature of the surrounding was 24° C (laboratory temperature) and (4° ± 2°) C (outdoor temperature on March 5 2023 near Prague). There was one critical experimental parameter: where to place the thermometer in the spherical flask: 1. inside to the bottom wall, 2. in the center of spherical flask, 3. at the upper level of the water volume, 4. outside to the bottom wall. For all experimental runs we have found that the temperature Tπ measured at the inside bottom wall of the spherical flasks might be interpreted as the “true” Newtonian temperature while the characteristic cooling constant τπ is very close to the value of the slope in the semi-log graph of those cooling systems. This model was used to interpret the historical experimental data of Newton (1701) and the modern experimental data of Grigull (1984). This model opens a new view on the Carnot engine where the elastic volume of thermons can achieve the efficiency η1 = (THOT – Tπ)/(THOT – TCOLD) = 1-1/π ≈ 0.682. Moreover, the “waste heat” after the Carnot engine can be used in the Seebeck generator to convert the angular momentum of thermons into the electricity (thermoelectric generator) with the efficiency η2 = (Tπ –TCOLD)/(THOT – TCOLD) = 1/π ≈ 0.318. The combined Carnot (1824) – Seebeck (1825) engine can explore all available heat of the of thermons for the temperature difference THOT – TCOLD.

Dose-dependent positive-to-negative shift of litter effects on seedling growth: a modelling study on 35 plant litter types

Modelling the inter-relationships between litter accumulation and plant–soil feedback is a major challenge to predict natural and agricultural ecosystem dynamics. At increasing levels of undecomposed plant litter, seedling growth tends to show a multi-faceted response trend, characterised by a peak of positive stimulation at lower dosage followed by inhibition at higher dosage. In this study, a new logistic model was developed to describe such trend and disentangle substrate-specific positive and negative effects of plant litter. The model was tested on 35 litter types applied to the common phytometer Lepidium sativum; all litter types were collected in Mediterranean shrublands of Campania region (southern Italy). Model fitting resulted to be generally higher relative to the widely used linear log response model, although in only half of the cases it also gave more parsimonious results in terms of minimising information loss. Positive and negative effects of plant litter resulted to be uncorrelated, showing that the overall trend is probably the result of the combined action of separate factors rather than the effect of a single factor behaving differently at the different doses. The results of this work provide new tools to finely tune the optimal doses in experiments on hormesis and litter phytotoxicity, through the identification of the most suited doses to centre the range of nearly linear response to litter concentration. A wide screening is also presented on the phytotoxicity profiles of a number of spontaneous plant species widely distributed in the Mediterranean area.

Experimental and analytical assessment of fatigue damage in reinforced concrete tension members

In this paper, the effects of bond deterioration due to fatigue loading on the structural response of reinforced concrete tension members are studied. A comprehensive experimental campaign on reinforced concrete ties and pull-out specimens was carried out under monotonic and repeated loading. The use of distributed fibre optical sensing to assess the local strains allowed the bond deterioration mechanism under repeated loading to be observed. Previously applied load cycles caused a reduction in tension stiffening for load levels below the maximum cyclic load but did not significantly influence the deformation behaviour of the member near the ultimate load. The bond stresses at the maximum cyclic load decreased fairly linearly with the logarithm of load cycles, with the most pronounced reduction in bond stresses near the cracks. At the minimum cyclic load, the bond stress distribution along the tie changed and bond stresses reversal occurred close to the cracks. This caused negative tension stiffening in some cases, i.e., the mean strains exceeded those occurring in a bare reinforcing bar at the same load. The mean steel stresses and the steel stress amplitudes between the cracks increased with the number of load cycles due to the gradual reduction of the concrete contribution and bond degradation. Bond degradation occurred linearly on a semi-logarithmic scale, as expected for the generated bond stresses, which were below the fatigue bond strength. The test results highlight that accounting for shrinkage-induced strains is essential for a realistic evaluation of tension stiffening and residual deformations in particular.Based on the experimental observations and previously developed models for monotonic and cyclic loading, two approaches were used to predict the response of reinforced concrete tension members under repeated loading: the Local Fatigue Damage Model (LFDM), based on the local bond stress-slip relationship, and the adapted Tension Chord Model (TCM) which assumes constant bond stresses and mean strains. The results of both approaches agree well with the test results at the maximum load but yielded less satisfactory predictions at the minimum loading level where only the LFDM was able to be applied successfully. Further research is required to validate the negative bond stresses occurring upon slip reversal in the LFDM and the reduction factor proposed in the adapted TCM.

Method for measuring the membrane penetration of triaxial specimens based on an external circular array of laser displacement sensors

In triaxial tests, membrane penetration is an important factor influencing the accuracy of volume change and pore pressure measurement. To measure and evaluate the membrane penetration of specimens made of gravelly sandy soils, a method using a newly developed measurement system based on an external circular array of laser displacement sensors is proposed in this paper. A series of experimental studies were conducted on the effects of several factors on membrane penetration. The result shows that there is a linear correlation between the unit membrane compliance and the effective confining pressure on a semilog plot. In addition, as the gravel content increases, the membrane penetration increases, but this trend weakens with increasing relative density. Notably, when the characteristic particle size is the same, the membrane penetration will be greater for more broadly graded soils. Moreover, the error caused by the thickness of the membrane increases as the diameter-to-thickness ratio decreases.

Argon Gas Flow Through Micro- and Nano-pipettes

Glass micropipettes and nanopipettes are widely used for injection to or aspiration from living cells, and nanopipettes can be also used for nano-fabrication by deposition. Here, we show a non-destructive and contamination-free method of examining the inside of glass micropipettes and nanopipettes by argon gas flow through the pipettes from the tip-top to the tube-end. The exit pressure for each pipette was measured at the entrance pressure of 50 kPa, and the semi-log plot of the vacuum conductance versus pipette inner diameter is compared with the calculation using tapered tube approximation assuming molecular flow. The experimental results were consistent in trend with the calculation, and the difference between the experimental results and the calculation was due to the intermediate gas flow as the pipette inner diameter increases. Therefore, the formula of the calculation was transformed using the Gompertz function to fit the experimental results well. By utilizing the plot of the inner diameter dependence of the exit pressure, the inner diameter of glass pipettes can be estimated from our developed gas flow method.