Sphere Diameter Research Articles

FREE VIBRATION ANALYSIS IN INNOVATIVE 3D PRINTING SANDWICH PANAELS FOR AIRCRAFT STRUCTURE

Sandwich panel structures are composed of three layers: core and two facings. The configuration of the core deeply influences the mechanical properties of the sandwich panel. Numerous innovative core shapes have been proposed to enhance these properties; however, many have not been implemented due to manufacturing difficulties, particularly spherical shapes. This research aims to address this manufacturing challenge by utilizing 3D printing technology to produce sandwich panels with a spherical core. Additionally, the study investigates the effects of varying design parameters like sphere diameter, offset distance and face thickness on the free vibration features of the sandwich panels experimentally and numerically. Experimental tests validated the finite element models with an error margin below 12%. The key parameters explored were spherical diameter (3-12mm), offset distance (10-33mm), and face thickness (1-5mm). The results demonstrate a direct correlation between these parameters and the sandwich beam natural frequency.

Self-Diffusion of Indium and Bismuth in Molten In0.5Bi0.5 Alloy at Different Thermodynamic State

This research work focuses on the theoretical study of atomic transport properties of molten In0.5Bi0.5 alloy at different thermodynamic states. Particularly, the self-diffusion coefficients (Di) of indium (In) and bismuth (Bi) in In0.5Bi0.5 alloy are explored by utilizing Distribution Function Method, which is based on the statistical mechanical theory. Inter-ionic interactions and pair distribution function are two main components of this method. The inter-ionic interactions are modeled by using local pseudopotential known as Brettonet-Silbert model, while the pair distribution function is derived by the Ascroft –Langreth theory. The effective hard sphere diameter is the main ingredient to calculate the Di, which is deduced from the thermodynamic perturbative theory called the Linearized Weeks-Chandler-Anderson method. The calculated results indicate that the value of Di for In agrees well with the available experimental data in the low temperature region. Bangladesh Journal of Physics, Vol. 29, Issue 2, pp. 51 – 58, December 2022

A Computational Solution of Melting Process inside a Sphere Towards the Latent Heat Storage in a Solar Air Heater

Latent heat storage using the phase change material (PCM) in a solar air collector is a measure to extend the collector's operating time during off sunshine period because air cannot store heat. In this paper, the melting prediction of spherical PCM under hot air convection is established by a one-dimensional unsteady enthalpy equation and solved by the finite difference method. The numerical results are compared with published data to confirm the accuracy. The independent parameters to investigate the charging include sphere diameter, air temperature, air velocity and initial temperature of PCM. The effects of air temperature and sphere diameter are significant on the melting rate of PCM. When the diameter increases by 2.5 times, the time to complete liquefaction increases by 5 times. At an air temperature of 70C, the required liquefaction time is 75 mins for a 40 mm diameter sphere.

MORPHOLOGICAL INSIGHTS OF CARBON NANOMATERIALS USING ATOMIC FORCE MICROSCOPY AND THEIR APPLICATIONS

This paper reviews the application of atomic force microscopy (AFM) in analyzing the nanoscale morphological properties of key carbon nanomaterials: carbon nanotubes (CNTs), graphene, and fullerene. AFM imaging techniques, operating at sub-nanometer resolutions of approximately 0.5 nm, are utilized to evaluate surface topography, roughness, and dimensional attributes. CNTs exhibit diameters ranging from 1[Formula: see text]nm to 10[Formula: see text]nm, with surface roughness correlating to their mechanical strength, reported to exceed 50[Formula: see text]GPa. For graphene, AFM measurements confirm a monolayer thickness of ∼0.34[Formula: see text]nm, while defects such as wrinkles and grain boundaries are identified, which significantly influence its exceptional thermal conductivity of up to 5000 W/mK. Fullerene structures, characterized by their spherical morphology and uniform diameters averaging 0.7[Formula: see text]nm, demonstrate superior dispersion in composite matrices. The review further explores the synergistic effects and trade-offs in utilizing these nanomaterials as fillers in composite systems. For instance, graphene improves electrical conductivity by over 200% in polymer composites, while CNTs contribute significantly to mechanical reinforcement, and fullerene enhances chemical stability and compatibility in biomedical applications. Through comparative analysis, the paper identifies pathways to optimize filler performance through tailored dispersion and functionalization. These insights serve as a foundation for future innovations in nanomaterial-enhanced composites across industries.

Effective Thermal Conductivity of Cyclohexane-Based Nanofluids Containing Cerium Dioxide Nanoparticles with Chemisorbed Organic Shell

In the present study, the effective thermal conductivity λeff of nanofluids containing metal oxide nanoparticles with a chemisorbed organic shell was investigated experimentally and theoretically. The model systems synthesized by a continuous-flow hydrothermal method consist of cyclohexane as organic base fluid and dispersed nearly spherical cerium dioxide (CeO2) core nanoparticles with a decanoic acid shell chemically attached to their surface. From the differences between the hydrodynamic diameters of the two core–shell nanoparticle types with (8.6 or 9.1) nm determined by dynamic light scattering (DLS) and the nearly spherical CeO2 core diameters obtained by analytical ultracentrifugation (AUC) and transmission electron microscopy (TEM), an estimation for the thickness of the entire hydrodynamic layer around the particle core in the range of about (1.1 to 1.3) nm could be deduced. Experimental data for λeff of the nanofluids and the thermal conductivity of the base fluid λbf were determined with a steady-state guarded parallel-plate instrument (GPPI) with an expanded (k = 2) relative uncertainty of 0.026 at atmospheric pressure over a temperature range from (283.15 to 313.15) K in steps of 10 K. The measurement results for the thermal-conductivity ratio λeff ·λbf–1 are independent of temperature and increase with increasing volume fraction of the CeO2 core nanoparticles up to about 0.023. It was found that the experimental results can be described by the Hamilton–Crosser model within their experimental uncertainties for all temperatures investigated.

Comparison of Lipid Content in Nine Dinoflagellate Species Using Flow Cytometry.

The lipid content of nine dinoflagellates was analyzed using flow cytometry to compare lipid levels. Additionally, the correlation between lipid content, cell size, and carbon content in dinoflagellates was evaluated using BODIPY 505/515 staining. The flow cytometry side scatter (SSC) effectively represented relative cell size, showing a linear relationship with the equivalent spherical diameter (ESD). Larger cells exhibited higher relative lipid content; however, lipid accumulation was influenced by nutritional modes and habitats, with mixorophic and benthic species displaying higher lipid content than heterotrophic species. A comparison of fluorescent dyes revealed that Nile Red overestimated lipid content, suggesting overlap with chlorophyll autofluorescence. Flow cytometry analysis with BODIPY 505/515 demonstrated a linear correlation with the sulfo-phospho-vanillin (SPV) method, enabling determination of actual lipid content using FL1 fluorescence and the slope value. As the carbon content increased, the lipid content initially increased rapidly but plateaued at higher carbon levels, indicating saturation. These findings suggest that relative fluorescence via flow cytometry provides an effective means to estimate the lipid content and carbon content as a function of cell size.

Laser-based imaging approach for nocturnal vessel detection in rivers

In the twenty-first century, maritime routes are crucial for geographical and financial reasons in riverine countries. Compared to the available technology abroad, Bangladesh has insufficient monitoring of water vessels to tackle any possible disaster, such as vessel collisions for inland water transportation. One of the frequent outcomes of this architecture is regular capsizing, which sometimes leads to loss of lives. These accidents bear physical and economic costs, which are detrimental for a third-world country like Bangladesh. Considering this important issue, we attempted to develop an effective system to make river travel safe. In this study, our focus was on Bangladesh’s inland waterway transportation, particularly at night. We proposed a system with the help of laser technology that tracks both the host ship and its surrounding vessels and provides real-time tracking positions. Cameras are used to monitor the vessel’s movement. The diameter of the laser sphere is the primary source of data to work on for our proposed model, which is annotated using image processing. The control room will monitor data in the real-time setup, and data will be updated automatically. This proposal was presented through modeling and simulation based on laser detection and identification.

Intraspecific polymorphism of pollen grains in Artemisia herba Alba Asso in the Tiaret region (West of Algeria)

This study allowed us to determine the appearance and pollen apertures of 200 individuals of Atrémesia herba alba from three areas in Algeria. The pollen morphology determined at the three stations studied is Tricolorpé, of which two grain shapes were encountered, spherical and elongated with three aper-tures and distinct diameters. Results obtained from pollen di-ameter measurements revealed a significant effect, which con-firms a very marked intra- and inter-population variability of this character. Indeed, the spherical pollen diameters vary be-tween 13.20 and 20 µm (Ain Dheb area) and between 16.56 and 29.90 µm in individuals from the two Chellala areas. The elon-gated pollen diameters from the Chellala region have diameters fluctuating between 34.31/25.46 to 29.90/16.56 µm and have diameters between 19/14.81 and 28.55 /18.54 µm for the Ain Dheb area.

A Real‐Time Imaging Sensing System to Visualize Elastomer Surface Profile Evolution for Dynamic Tactile Recognition

AbstractElastomer‐based interfaces provide rich functionalities for tactile sensing, particularly in making tiny differences in contact dynamics potentially detectable. However, the minimal motion‐induced changes in the elastomer's surface and their disappearance during time‐lapse limit the state recognition within the current scheme of motion recognition. In this work, a new scheme of real‐time motion mode recognition for subtle deformations is proposed, which uses an optical tactile sensing system to visualize and distinguish tiny variations in surface profile evolution encoded as images. Illustrating with a sphere, sliding‐induced asymmetric elastomer surface deformation is visualized as a “drag” in optical images. The convolutional neural network (CNN) algorithm is used to analyze the evolution of surface contour features during the interaction between the sphere and the elastic medium. Motion state recognition is achieved with 80% accuracy when a displacement of only 8.3% of the sphere diameter is produced. In addition, the system also offers the potential to analyze dynamic motion information through a single image, with an accuracy of 82.7% for velocity recognition. This dynamic real‐time recognition framework for soft media deformation paves the way for novel motion‐based input commands for tactile sensing and human‐computer interaction applications.

On the lift generation over a sphere using asymmetric roughness

This study investigates a novel phenomenon of lift generation around a sphere by pneumatically manipulating its surface topology with an asymmetric roughness distribution. A comprehensive series of systematic experiments were conducted for Reynolds numbers (Re=U∞d/ν, where U∞ is the free-stream velocity, d is the sphere diameter, and ν is the fluid kinematic viscosity) ranging from 6×104 to 1.3×105, and dimple depth ratios (k/d, where k is the dimple depth) from 0 to 1×10−2 using a smart morphable sphere. The findings show that an asymmetrically rough sphere can generate lift forces up to 80% of the drag, comparable to those produced by the Magnus effect. The dimple depth ratio affects both Re at which lift generation begins and the maximum lift coefficient (CL) achievable. The optimal k/d for maximum lift varies with Re: deeper dimples are needed at low Re, while shallower dimples are more effective at high Re. For a fixed Re, increasing k/d monotonically increases lift until a critical k/d is reached, beyond which lift decreases. Particle image velocimetry revealed that dimples delay flow separation on the rough side, while the smooth side remains unchanged, resulting in asymmetric boundary layer separation, leading to wake deflection and lift generation. Beyond the critical k/d, the flow separation location moved upstream, increasing the size of the rear wake, reducing wake deflection, and thus decreasing lift. This study is the first to report how manipulating surface topography can generate lift forces comparable to those produced by the Magnus effect, offering a new mechanism for aerodynamic control. These findings could have significant implications for the maneuvering capabilities of unmanned underwater vehicles, where fine control of lift is essential for agility.

Experimental study on the slosh-induced force generated by a partially filled spherical capsule

When a capsule is partially filled with liquid, the internal inconsistent movement will result in its flow dynamics deviating a lot from a fully filled capsule. In this study, an equivalent slosh-induced force that originates from the internal moving liquid is proposed and experimentally tested. A designated linear acceleration of more than twice the gravity is exerted on the spherical capsule by a servo motor driven synchronous belt. The instantaneous force from spheres of different sizes and filling ratios is obtained based on the measured external forces. Water and tetradecane are used to test the effect of liquid properties. Slosh-induced force of magnitude from less to larger than the inertial force of the capsule can be generated, and it persists with an attenuating fluctuating feature even if the acceleration stops. Fast Fourier transformation confirms the existence of a dominant frequency, which decreases with the sphere diameter, increases with the filling ratio, and decreases with the viscosity of the liquid. All the obtained peak values of slosh-induced force in this study have been fitted into a correlation, which can be used to make predictions based on known factors. These findings shed light on the dynamic behavior of liquid in moving small or micro spherical capsules, which are important to the design and operation of related equipment.

Understanding Tidal Jet Vortices Over Complex Bathymetry via Numerical Modeling and Drone Observation: Match and Mismatch in the Vortex Dynamics Under Idealized and Realistic Topographic Settings

AbstractThe formation and evolution of tidal jet vortices over complex bathymetry were investigated using numerical modeling and in situ observation. Delft3D FM simulation on an unstructured grid system, complemented by field measurements using recreational drones captured tidal dynamics in the Uldolmok Strait, known for its strong tidal currents up to 6.0 m/s and turbulent whirlpool formation. This study particularly focused on temporal changes in whirlpools near their narrowest points. Modeling across the entire strait showed current velocity fields consistent with field observations, revealing significant temporal and spatial variability influenced by strait geometry and bathymetry. Whirlpools induced by tides were identified by setting a swirl strength threshold, with their centroids and equivalent spherical diameters pinpointed. It was observed that larger whirlpools, upon reaching critical size, were entrained and shifted with the tidal jet at about half its maximum velocity, while smaller vortices separated from the nearshore boundary layer remained nearly stationary. Focusing on the initiation of whirlpools and their relations with the coastline and bathymetry, a targeted field survey using a recreational drone measured surface flow fields in detail near the strait's narrowing region. During the ebb phase, shallow regions exhibited numerous smaller eddies due to increased energy dissipation, showing a dual power‐law scaling in the size distribution of eddies, contrasting with the single scaling exponent observed during the flood phase. The study underscored the role of coastline and bathymetry in developing whirlpools and shaping their dynamics, providing insights into complex tidal interactions in the natural coast.

Capillary rise in a packing of glass spheres

A series of experiments are performed to give insight into the mechanisms of liquid rise in a 3D dense random packing of glass spheres. A sharp knee in the log-log plot of water height h versus time t curve is observed, with an attendant change in h(t) characteristic from h∝t0.5 to h∝t0.05. This behaviour is observed for 5 choices of diameter distribution of spheres, such that the mean diameter is in the range of 0.22 mm to 1.20 mm, and the ratio of standard deviation to mean diameter lies between 0.014 and 0.157. Immediate arrest in water rise occurs when the water reservoir is removed from the bottom of the column, in support of the conclusion that water rise is by capillary action. In the post-knee regime of the h(t) response, water rise occurs in a jerky manner by a series of jumps, involving transverse jumps and more occasional vertical jumps in water ingress; each jump is by an increment of sphere diameter. The incubation time for each vertical jump is sensitive to height of meniscus and dictates the overall rate of water rise. Pendular-rings at the junctions between glass spheres are not observed above the meniscus; this casts doubt upon the notion that the jerky motion of the meniscus is due to the incubation time for a vapour-fed pendular-ring to grow and coalesce with the meniscus. Possible sources of the height-dependent incubation time for each vertical jump are discussed, including a time-dependent increase in surface tension. Additional insight is obtained by observing water rise, and glycerol rise in (i) a monolayer of glass spheres, (ii) in a capillary tube of diameter slightly greater than that of the glass beads and filled with a single column of glass spheres and (iii) an empty capillary tube. Continued liquid rise beyond the knee in the h(t) curve is noted in all cases except for that of an empty capillary tube.

Encapsulation and controlled release of Streptomyces sp. herbicidal metabolites for pre-plant weed germination control

ABSTRACT Streptomyces sp. herbicidal metabolite encapsulation with controlled release properties is considered an innovative method for weed control without negatively affecting the environment. This research reports the preparation and application of new herbicidal metabolites-core/alginate-shell encapsulation systems with controlled release properties of Streptomyces sp. metabolites with pre-plant herbicidal activity for the control of weeds, Lolium perenne, Amaranthus retroflexus and Bidens pilosa showing good germination inhibition capacity. The production of Streptomyces sp. metabolites was performed by the liquid fermentation method. Three alginate polymer-coated Streptomyces sp. herbicidal metabolites-controlled release systems with an encapsulation efficiency of > 94%, were successfully prepared using the dripping extrusion method. Well-defined and compact release systems were obtained with a spherical shape and average diameters of 4.4-4.5 mm and an alginate shell thickness in the order of 400 µm with different pore sizes (26-5 µm). An increase in the alginate concentration of 0.75-2.0% (w/v) during the preparation resulted in a decrease in the shells' porosity size and a decrease in the release of the Streptomyces sp. herbicidal metabolites. The release activity of the herbicidal metabolites was evaluated by UV-Vis optical absorption spectroscopy. The statistical results showed that porous shell release systems with a lower release rate over time have a higher potential for the inhibition of germination in > 91% of weeds than the direct herbicidal metabolite application and the control group (P < 0.05). These results indicate that Streptomyces sp. herbicidal metabolites-controlled release systems represent a potentially sustainable alternative for pre-plant weed management.

Controls on glacial kettle morphology

AbstractGlacial kettles are surficial depressions that form in formerly glaciated terrain when buried stagnant ice melts within pro‐glacial sediments, often deposited by meltwater streams. Kettles, like other glacial landforms, provide insight into the impact of climate on landscape evolution, such as the extent and timing of glaciations. The geometry of kettle features is variable, but existing theory does not explain the range of observed morphologies. Our study aims to establish a quantitative relationship between the depth of ice burial and the resulting morphology of terrain collapse in kettle depressions. To do so, we simulated kettle formation in the laboratory by burying ice spheres of four sizes in well‐sorted coarse sand at four different depths. As the spheres melt at room temperature, a glacial kettle analog forms at the surface. We scanned the resulting kettle topography with a portable LiDAR scanner to produce 3D digital elevation models of each depression, from which we measured each depression's depth and width and, in one instance, the time series of kettle formation. Using this data, we quantified the relationship between the sphere diameter, burial depth and resulting dimensions of the kettle by developing a set of equations, which we then applied to full‐scale features. Our results indicate that ice burial deeper than one sphere diameter corresponds to a decrease in depression depth and an increase in depression width. This application offers insight into the interdependence of ice burial depth and kettle geometry.

Natural Co-Infections of Aeromonas veronii and Yellow Catfish Calicivirus (YcCV) in Ascites Disease Outbreaks in Cultured Yellow Catfish: An Emerging Fish Disease in China.

Yellow catfish is one of the most important aquaculture species in China, with an annual output of 565,000 tons. Between May and July 2022, the farmed yellow catfish experienced an unusually high mortality rate in an aquaculture farm next to Futou Lake in Hubei, China. Diseased fish exhibited symptoms including ascites, skin ulcers, and bleeding in the head, oral cavity, and lower jaw base. Polymerase chain reaction (PCR) and sequence analyses confirmed the co-infection of Yellow Catfish Calicivirus (YcCV) and Aeromonas veronii in the diseased fish. Transmission electron microscopy exposed abundant virus particles within kidney and spleen cells, characterized by their spherical shape and approximate diameter of 35 nm. Historically, the ascites disease in yellow catfish has been predominantly attributed to bacterial infections over the past two decades. This study represents the first documentation of a correlation between the ascites disease of yellow catfish and the natural co-infection of YcCV and Aeromonas veronii. The findings suggest a possible synergistic interaction between YcCV and bacterial pathogens, potentially aggravating disease severity in yellow catfish aquaculture.

A study on influence of sintering temperature, diameter and volume fraction of metal hollow spheres on the mechanical properties of metal hollow spheres composites

The structural parameters (the sintering temperature, diameter, and volume fraction of the hollow spheres) have a considerable influence on the mechanical properties of metal hollow sphere composites (MHSCs). Hence, the influence laws of the structural parameters on the mechanical properties of MHSCs possess certain research significance. To obtain these laws, MHSCs with different structural parameters were fabricated using a pressure casting method. Subsequently, the density of the MHSCs was determined through the direct measurement method. Meanwhile, X-ray diffraction and scanning electron microscopy were employed to conduct in-depth analyses of the phase composition and microstructure of the MHSCs. Additionally, the compression performance of the MHSCs was measured with the assistance of a universal mechanical testing machine. The analysis of the microstructure and phase composition results revealed that MHSCs consisted of γ-Fe, Al, Si, Fe₂Al₇Si, Fe₂Al₄Si, and Al₈Si₆Mg₃Fe phases, with the transition layer composed of the Fe₂Al₇Si phase. The results of the compression performance indicated that the compression performance of MHSCs increased with the rise of the sintering temperature and decreased with the increase of the volume fraction. However, as the diameter of MHS increased, the yield strength of MHSCs declined while the deformation strength of MHSCs increased. When the diameter of the MHSs was 2.55 mm and the volume fraction was 40 %, the compression performance of the MHSCs reached its optimum. At that point, the yield strength was 113.65±3.37 Mpa, and the average deformation strength was 81.26±5.45 Mpa.

Partial volume correction for Lu-177-PSMA SPECT

BackgroundThe limited spatial resolution in SPECT images leads to partial volume effect (PVE), degrading the subsequent dosimetric accuracy. We aim to quantitatively evaluate PVE and partial volume corrections (PVC), i.e., recovery coefficient (RC)-PVC (RC-PVC), reblurred Van-Cittert (RVC) and iterative Yang (IY), in 177Lu-PSMA-617 SPECT images.MethodsWe employed a geometrical cylindrical phantom containing five spheres (diameters ranging from 20 to 40 mm) and 40 XCAT phantoms with various anatomical variations and activity distributions. SIMIND Monte Carlo code was used to generate realistic noisy projections. In the clinical study, sequential quantitative SPECT/CT imaging at 4 time-points post 177Lu-PSMA-617 injections were analyzed for 10 patients. Iterative statistical reconstruction methods were used for reconstruction with attenuation, scatter and geometrical collimator detector response corrections, followed by post-filters. The RC-curves were fit based on the geometrical phantom study and applied for XCAT phantom and clinical study in RC-PVC. Matched and 0.5-2.0 voxels (2.54–10.16 mm) mismatched sphere masks were deployed in IY. The coefficient of variation (CoV) was measured on a uniform background on the geometrical phantom. RCs of spheres and mean absolute activity error (MAE) of kidneys and tumors were evaluated in simulation data, while the activity difference was evaluated in clinical data before and after PVC.ResultsIn the simulation study, the spheres experienced significant PVE, i.e., 0.26 RC and 0.70 RC for the 20 mm and 40 mm spheres, respectively. RVC and IY improved the RC of the 20 mm sphere to 0.37 and 0.75 and RC of the 40 mm sphere to 0.96 and 1.04. Mismatch in mask increased the activity error for all spheres in IY. RVC increased noise and caused Gibbs ringing artifacts. For XCAT phantoms, both RVC and IY performed comparably and were superior to RC-PVC in reducing the MAE of the kidneys. However, IY and RC-PVC outperformed RVC for tumors. The XCAT phantom study and clinical study showed a similar trend in the kidney and tumor activity differences between non-PVC and PVC.ConclusionsPVE greatly impacts activity quantification, especially for small objects. All PVC methods improve the quantification accuracy in 177Lu-PSMA SPECT.

Releasing long bubbles trapped in thin capillaries via tube centrifugation and inclination

In confined systems, the entrapment of a gas volume with an equivalent spherical diameter greater than the dimension of the channel can form extended bubbles that obstruct fluid circuits and compromise performance. Notably, in sealed vertical tubes, buoyant long bubbles cannot rise if the inner tube radius is below a critical value near the capillary length. This critical threshold for steady ascent is determined by geometric constraints related to the matching of the upper cap shape with the lubricating film surrounding the elongated part of the bubble. Developing strategies to overcome this threshold and release stuck bubbles is essential for applications involving narrow liquid channels. Effective strategies involve modifying the matching conditions with an external force field to facilitate bubble ascent. However, it is unclear how changes in acceleration conditions affect the motion onset of buoyancy-driven long bubbles. This study investigates the mobility of elongated bubbles in sealed tubes with an inner radius near the critical value inhibiting bubble motion in a vertical setting. Two strategies are explored to tune bubble motion, leveraging variations in axial and transversal accelerations: tube rotation around its axis and tube inclination relative to gravity. By revising the geometrical constraints of the simple vertical setting, the study predicts new thresholds based on rotational speed and tilt angle, respectively, providing forecasts for the bubble rising velocity under modified apparent gravity. Experimental measurements of motion threshold and rising velocity compare well with theoretical developments, thus suggesting practical approaches to control and tune bubble motion in confined environments.

Single-shot quantitative differential phase contrast microscope using a single calcite beam displacer

This paper presents the development of a single-shot, partially spatially coherent quantitative differential phase contrast microscopy (Q-DPCM) system. The optical scheme comprises a polarizer, lenses, calcite beam displacer, and analyzer, which can be seamlessly integrated to an existing bright-field microscopy system, transforming it into a Q-DPCM system. It utilizes a partially spatially coherent light source, enabling single-shot quantitative differential phase recovery of the specimens with high spatial phase sensitivity. It generates highly sensitive quantitative differential phase images of the specimens along one direction, like a gradient light interference microscopy (GLIM) system, using only a single interferogram. First, we validated the differential phase measurement capability of the system through experiments on polystyrene spheres (diameter 5.2 µm) and HeLa cells. Next, the system is utilized to generate quantitative phase maps of human red blood cells using two orthogonal differential interferograms recorded at two orientations of the calcite beam displacer. Further, the Q-DPCM system is implemented for 1-h time-lapse live cell monitoring, revealing the dynamics of intracellular granules such as nucleolus and lipids in U2OS cells.