Engineering & Science calculators
Choose a task below. Check each calculator’s assumptions and units before using its result.
Submarine Neutral Buoyancy Trim Calculator
Submarine Hydrostatics & Diving Physics: Calculate neutral buoyancy equilibrium, hull volumetric shrinkage under deep hydrostatic pressure, and longitudinal trim water shifts.
Submarine Pressure Hull Collapse Depth Calculator
Naval Architecture & Pressure Vessel Engineering: Calculate ring-stiffened cylindrical pressure hull collapse depth, interframe shell yield, and frame buckling.
Submersible Pressure Hull Stress Calculator
Subsea naval architecture: Model thick-walled cylindrical pressure hulls under external hydrostatic pressure using Lamé equations, von Mises yield criterion, and depth collapse limits.
Subsea BOP Ram Closing Time Calculator
Size surface and subsea nitrogen-charged accumulator bottles, calculate adiabatic gas expansion pressures, and verify API 16D ram closure timing.
Subsea Cathodic Protection Anode Calculator
Calculate sacrificial galvanic bracelet anode mass, spacing, and current demand for offshore pipelines per DNV-RP-B401 and NACE standards.
Subsea Choke Line Friction Calculator - Kill Pressure CLF
Model deepwater choke line friction loss (CLF), compute adjusted initial casing pressures, and prevent formation fracturing during subsea well kills.
Subsea Direct Electrical Heating Calculator
Flowline Thermal Management: Calculate AC skin-effect resistance, Joule heating dissipation, current sharing between pipe and seawater, and shutdown cooldown prevention.
Subsea Joule-Thomson Choke Cooling Calculator
Production Flow Assurance: Calculate isenthalpic expansion temperature drop ($\Delta T_{JT}$), downstream temperature ($T_{down}$), and choke freezing risks.
Subsea Pipeline Collapse Pressure Calculator
Offshore pipeline mechanics: Calculate external hydrostatic collapse pressure ($P_c$), elastic buckling ($P_{el}$), plastic hoop yield ($P_p$), and out-of-roundness ovality derating per DNV-ST-F101.
Subsea Pipeline Cooldown Calculator - Insulation U-Value
Estimate pipeline cooldown time (hours) to gas hydrate formation temperature (WAT) following an unplanned subsea shutdown per DNV-RP-F401.
Subsea Pipeline On-Bottom Stability Calculator
Calculate subsea pipeline on-bottom stability, hydrodynamic lift and drag forces, submerged weight, and required concrete weight coating per DNV-RP-F109.
Subsea Strake Drag & VIV Calculator
Hydrodynamics & Flow Assurance: Evaluate vortex-induced vibration (VIV) suppression performance versus hydrodynamic drag penalties for marine risers with helical strakes.
Subsea Wellhead Fatigue Bending Calculator
Model cyclic bending moments transferred to conductor casing and wellhead datum from BOP stack dynamics, LFJ angles, and wave-induced Palmgren-Miner fatigue.
Substation Busbar Short-Circuit Force Calculator
Calculate peak electrodynamic forces, bending stresses, and post-insulator cantilever loading for rigid substation busbars during short-circuit faults per IEC 60865-1.
Substation Insulation Coordination BIL Calculator
Determine required equipment Basic Lightning Impulse Insulation Level (BIL), surge arrester protection margins, altitude derating, and phase-to-earth air clearances per IEC 60071.
Sun-Synchronous Orbit J2 Calculator
Orbital Perturbations: Model Earth $J_2$ oblateness nodal precession ($\dot{\Omega}$), apsidal rotation ($\dot{\omega}$), and solve for Sun-Synchronous Orbit (SSO) inclination ($i_{SSO}$).
Superconducting Magnet Critical Calculator
Applied superconductivity: Calculate Jc critical current density, upper critical field Bc2(T), current-sharing temperature T_cs, and magnet load-line margins.
Superconducting Magnet Quench Resistor Calculator
Applied Superconductivity: Calculate external dump resistance ($R_{dump}$), $L/R$ discharge decay, peak inductive voltage, and adiabatic hot-spot temperature ($T_{hot}$) using the $MIITs$ integral.
Superconducting Quench Resistor Calculator
Magnet safety engineering: Calculate external dump resistor sizing, magnetic energy extraction time, peak discharge voltage, and hot-spot adiabatic temperature.
Superconductor Critical Current Calculator
Applied Superconductivity: Calculate temperature and magnetic field dependent critical current ($I_c(B, T)$) and current sharing margin ($T_{cs}$).
Superconductor London Penetration Calculator
Superconductivity electrodynamics: Calculate London penetration depth ($\lambda_L(T)$), Ginzburg-Landau coherence length ($\xi(T)$), G-L parameter ($\kappa$), and critical magnetic fields ($B_{c1}, B_c, B_{c2}$).
Supercritical CO2 Pipeline Hydraulic Calculator
CCUS Infrastructure Engineering: Model non-linear dense-phase supercritical $CO_2$ fluid properties, frictional pressure gradients, and allowable pipeline transmission distance above the critical point.
Superfluid Helium Fountain Calculator
Quantum Hydrodynamics: Calculate London thermomechanical fountain pressure ($\Delta P_f$) and fountain liquid height ($\Delta h_f$) across He II porous plugs.
Superheater Steam Attemperator Spray Calculator
Determine boiler desuperheater cooling spray water demand, mixed steam exit temperature, and minimum straight pipe evaporation distance.
Superpave Asphalt Binder PG Calculator
Asphalt rheology & materials engineering: Evaluate Superpave Performance Grading (PG) rheological metrics: DSR high-temperature rutting ($G^*/sindelta$), intermediate fatigue ($G^* cdot sindelta$), and BBR low-temperature stiffness ($S$).
Superplastic Cavitation Growth Calculator
Aerospace Structural Integrity: Compute cavity volume fraction ($C_v$), growth parameter ($\eta$), and minimum hydrostatic gas back-pressure to suppress voids.
Superplastic Dome Bulge Stress Calculator
Pneumatic Sheet Forming: Calculate apex dome height ($h$), radius of curvature ($\rho$), membrane stress ($\sigma$), and pole thinning under gas blow forming.
Superplastic Strain Rate Sensitivity Calculator
Aerospace Materials Engineering: Compute the strain rate sensitivity index ($m$), Backofen constitutive flow stress ($\sigma = K \dot{\varepsilon}^m$), and failure elongation.
Supersonic Oblique Shock Theta Beta Calculator
Solve the compressible flow oblique shock θ-β-M relation, downstream Mach number (M2), static and stagnation pressure ratios, and shock detachment limits.
Surface Plasmon Polariton Dispersion Calculator
Plasmonics & nanophotonics: Calculate surface plasmon polariton (SPP) wavevector ($k_{spp}$), wavelength ($\lambda_{spp}$), $1/e$ propagation length ($L_{spp}$), and evanescent field penetration depths into metal and dielectric.
Surface Plasmon Resonance SPR Calculator
Label-free optical biosensing: Calculate Kretschmann resonance angle (\(\theta_{\text{spr}}\)), resonance dip shift (\(\Delta \theta\)), bulk sensitivity, and analyte binding mass.
Surge and Swab Pressure Calculator - Burkhardt Tripping
Model pressure surges during tripping in and swab pressure reduction during pulling pipe out of hole using Burkhardt fluid clinging dynamics.
Surge Arrester Energy Discharge Calculator
Substation overvoltage protection: Calculate metal-oxide (ZnO) surge arrester thermal energy discharge capability (W_th), line discharge class, and temporary overvoltage (TOV).
Surge Impedance Loading SIL Calculator
Determine characteristic surge impedance ($Z_c$), surge impedance loading ($SIL$), reactive power consumption, and St. Clair power transfer capacity.
Surge Tank Mass Oscillation & Stability Calculator
Determine critical surge tank area (A_Th), Franke/Thoma governor stability safety margin, and maximum water level excursion during full load rejection.
Surge Tank Volume Calculator - Water Hammer Air Chamber
Estimate total air cushion volume, liquid retention volume, and polytropic gas expansion (P·V^1.2 = C) to suppress pipeline pump trip downsurge.
Synchrotron Critical Energy & Power Calculator
Relativistic electrodynamics & particle accelerators: Calculate bending magnet synchrotron energy loss per turn ($U_0$), critical photon energy ($epsilon_c$), radiated power, and natural emission cone angle ($1/gamma$).
Synchrotron Energy Loss Per Turn Calculator
Accelerator Physics: Determine relativistic electron radiative energy loss per turn ($U_0$), total synchrotron radiation power ($P_{rad}$), and dipole field parameters.
Synthetic Aperture Radar Resolution Calculator
Remote Sensing & Radar Imaging: Calculate stripmap SAR azimuth resolution ($\delta_{az}$), ground range resolution ($\delta_{gr}$), and synthetic aperture length.
Tablet Compaction Heckel Porosity Calculator
Solid Dosage Form Engineering: Determine powder consolidation behavior, Heckel plastic yield pressure ($P_y = 1/K$), relative density, and tablet tensile strength.
Tail Gas Treating Air Demand Calculator
Model catalytic hydrogenation stoichiometry, reducing gas generator (RGG) combustion air/fuel rates, and quench water cooling duties.
Tailings Storage Slurry Settling Calculator
Geotechnical & environmental mining: Calculate settled dry density, annual rate of rise (ROR), impoundment volumetric capacity, void ratio, and decant water balance.
Tall Building Crosswind Vortex Calculator
Structural Wind Engineering: Determine vortex shedding frequency ($f_s$), critical lock-in velocity ($V_{cr}$), Scruton number ($Sc$), and crosswind dynamic amplitude.
Tangential Flow Filtration TFF Calculator - Shear Rate Flux
Calculate ultrafiltration/diafiltration membrane flux (LMH), transmembrane pressure (TMP), wall shear rate, and volumetric concentration factor (VCF).
Tank Strapping Volume Calculator - Innage & BBL Gauge
Determine gross observed barrels (GOV), free water volume, BS&W deductions, and net clean standard oil volume (NSV) from dip tape measurements.
Taylor-Aris Microchannel Dispersion Calculator
Microfluidic Transport Phenomena: Calculate effective axial dispersion ($D_{eff}$), Péclet number ($Pe$), and peak band broadening variance ($\sigma_x^2$).
TBM Cutterhead Thrust and Torque Calculator
Mechanized Tunnel Excavation: Compute total cutterhead thrust force, cutterhead torque, electric drive power, and penetration using the CSM rock fracture model.
TBM Disc Cutter Life and Wear Calculator
TBM Tribology & Tooling: Estimate cutter ring rolling distance (km), consumption rate ($h_{wear}$), and wear distribution using the NTNU rock abrasiveness model.